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Finding the Fourth Proportional to 30,992,824.80, 46,489,237.00 and 11,298,428.64

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Solution

The fourth proportional to 30,992,824.80, 46,489,237.00 and 11,298,428.64 is: 16,947,642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992,824.80 : 46,489,237.00 = 11,298,428.64 : x
  2. Step 2: Convert to fraction form
    30,992,824.80/46,489,237.00 = 11,298,428.64/x
  3. Step 3: Cross multiply
    30,992,824.80x = 46,489,237.00 × 11,298,428.64
  4. Step 4: Simplify right side
    30,992,824.80x = 525,255,326,744,301.69
  5. Step 5: Solve for x
    x = 525,255,326,744,301.69/30,992,824.80
  6. Step 6: Final answer
    x = 16,947,642.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.