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Finding the Fourth Proportional to 52,411.46, 72,320.45 and 29,743.20

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Solution

The fourth proportional to 52,411.46, 72,320.45 and 29,743.20 is: 41,041.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,411.46 : 72,320.45 = 29,743.20 : x
  2. Step 2: Convert to fraction form
    52,411.46/72,320.45 = 29,743.20/x
  3. Step 3: Cross multiply
    52,411.46x = 72,320.45 × 29,743.20
  4. Step 4: Simplify right side
    52,411.46x = 2,151,041,459.72
  5. Step 5: Solve for x
    x = 2,151,041,459.72/52,411.46
  6. Step 6: Final answer
    x = 41,041.44

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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.