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Finding the Fourth Proportional to 53,691.84, 74,098.08 and 32,472

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Solution

The fourth proportional to 53,691.84, 74,098.08 and 32,472 is: 44,813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,691.84 : 74,098.08 = 32,472 : x
  2. Step 2: Convert to fraction form
    53,691.84/74,098.08 = 32,472/x
  3. Step 3: Cross multiply
    53,691.84x = 74,098.08 × 32,472
  4. Step 4: Simplify right side
    53,691.84x = 2,406,112,853.76
  5. Step 5: Solve for x
    x = 2,406,112,853.76/53,691.84
  6. Step 6: Final answer
    x = 44,813.38

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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.