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Finding the Fourth Proportional to 40,411.59, 55,748.70 and 31,397.40

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Solution

The fourth proportional to 40,411.59, 55,748.70 and 31,397.40 is: 43,313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,411.59 : 55,748.70 = 31,397.40 : x
  2. Step 2: Convert to fraction form
    40,411.59/55,748.70 = 31,397.40/x
  3. Step 3: Cross multiply
    40,411.59x = 55,748.70 × 31,397.40
  4. Step 4: Simplify right side
    40,411.59x = 1,750,364,233.38
  5. Step 5: Solve for x
    x = 1,750,364,233.38/40,411.59
  6. Step 6: Final answer
    x = 43,313.42

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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.