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Finding the Fourth Proportional to 52,470.98, 72,410.18 and 29,811.21

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Solution

The fourth proportional to 52,470.98, 72,410.18 and 29,811.21 is: 41,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,470.98 : 72,410.18 = 29,811.21 : x
  2. Step 2: Convert to fraction form
    52,470.98/72,410.18 = 29,811.21/x
  3. Step 3: Cross multiply
    52,470.98x = 72,410.18 × 29,811.21
  4. Step 4: Simplify right side
    52,470.98x = 2,158,635,082.12
  5. Step 5: Solve for x
    x = 2,158,635,082.12/52,470.98
  6. Step 6: Final answer
    x = 41,139.60

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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.