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Finding the Fourth Proportional to 71,820, 99,123.12 and 42,006.24

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Solution

The fourth proportional to 71,820, 99,123.12 and 42,006.24 is: 57,975.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,820 : 99,123.12 = 42,006.24 : x
  2. Step 2: Convert to fraction form
    71,820/99,123.12 = 42,006.24/x
  3. Step 3: Cross multiply
    71,820x = 99,123.12 × 42,006.24
  4. Step 4: Simplify right side
    71,820x = 4,163,789,568.27
  5. Step 5: Solve for x
    x = 4,163,789,568.27/71,820
  6. Step 6: Final answer
    x = 57,975.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.