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Finding the Fourth Proportional to 54,742.96, 75,545.04 and 29,592.40

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Solution

The fourth proportional to 54,742.96, 75,545.04 and 29,592.40 is: 40,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,742.96 : 75,545.04 = 29,592.40 : x
  2. Step 2: Convert to fraction form
    54,742.96/75,545.04 = 29,592.40/x
  3. Step 3: Cross multiply
    54,742.96x = 75,545.04 × 29,592.40
  4. Step 4: Simplify right side
    54,742.96x = 2,235,559,041.70
  5. Step 5: Solve for x
    x = 2,235,559,041.70/54,742.96
  6. Step 6: Final answer
    x = 40,837.38

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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.