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Finding the Fourth Proportional to 64,414.04, 88,892.10 and 35,734.28

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Solution

The fourth proportional to 64,414.04, 88,892.10 and 35,734.28 is: 49,313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,414.04 : 88,892.10 = 35,734.28 : x
  2. Step 2: Convert to fraction form
    64,414.04/88,892.10 = 35,734.28/x
  3. Step 3: Cross multiply
    64,414.04x = 88,892.10 × 35,734.28
  4. Step 4: Simplify right side
    64,414.04x = 3,176,495,191.19
  5. Step 5: Solve for x
    x = 3,176,495,191.19/64,414.04
  6. Step 6: Final answer
    x = 49,313.71

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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.