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Finding the Fourth Proportional to 46,326.80, 69,448.08 and 24,114.08

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Solution

The fourth proportional to 46,326.80, 69,448.08 and 24,114.08 is: 36,149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,326.80 : 69,448.08 = 24,114.08 : x
  2. Step 2: Convert to fraction form
    46,326.80/69,448.08 = 24,114.08/x
  3. Step 3: Cross multiply
    46,326.80x = 69,448.08 × 24,114.08
  4. Step 4: Simplify right side
    46,326.80x = 1,674,676,556.97
  5. Step 5: Solve for x
    x = 1,674,676,556.97/46,326.80
  6. Step 6: Final answer
    x = 36,149.20

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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.