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Finding the Fourth Proportional to 94,940.80, 142,400.40 and 24,827.20

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Solution

The fourth proportional to 94,940.80, 142,400.40 and 24,827.20 is: 37,237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,940.80 : 142,400.40 = 24,827.20 : x
  2. Step 2: Convert to fraction form
    94,940.80/142,400.40 = 24,827.20/x
  3. Step 3: Cross multiply
    94,940.80x = 142,400.40 × 24,827.20
  4. Step 4: Simplify right side
    94,940.80x = 3,535,403,210.88
  5. Step 5: Solve for x
    x = 3,535,403,210.88/94,940.80
  6. Step 6: Final answer
    x = 37,237.98

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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.