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Finding the Fourth Proportional to 46,924.38, 64,755.45 and 25,414.02

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Solution

The fourth proportional to 46,924.38, 64,755.45 and 25,414.02 is: 35,071.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,924.38 : 64,755.45 = 25,414.02 : x
  2. Step 2: Convert to fraction form
    46,924.38/64,755.45 = 25,414.02/x
  3. Step 3: Cross multiply
    46,924.38x = 64,755.45 × 25,414.02
  4. Step 4: Simplify right side
    46,924.38x = 1,645,696,301.41
  5. Step 5: Solve for x
    x = 1,645,696,301.41/46,924.38
  6. Step 6: Final answer
    x = 35,071.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.