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Finding the Fourth Proportional to 52,524, 72,458.10 and 35,534.16

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Solution

The fourth proportional to 52,524, 72,458.10 and 35,534.16 is: 49,020.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,524 : 72,458.10 = 35,534.16 : x
  2. Step 2: Convert to fraction form
    52,524/72,458.10 = 35,534.16/x
  3. Step 3: Cross multiply
    52,524x = 72,458.10 × 35,534.16
  4. Step 4: Simplify right side
    52,524x = 2,574,737,718.70
  5. Step 5: Solve for x
    x = 2,574,737,718.70/52,524
  6. Step 6: Final answer
    x = 49,020.21

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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.