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Finding the Fourth Proportional to 96,024.80, 144,035.12 and 29,463.42

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Solution

The fourth proportional to 96,024.80, 144,035.12 and 29,463.42 is: 44,194.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,024.80 : 144,035.12 = 29,463.42 : x
  2. Step 2: Convert to fraction form
    96,024.80/144,035.12 = 29,463.42/x
  3. Step 3: Cross multiply
    96,024.80x = 144,035.12 × 29,463.42
  4. Step 4: Simplify right side
    96,024.80x = 4,243,767,235.31
  5. Step 5: Solve for x
    x = 4,243,767,235.31/96,024.80
  6. Step 6: Final answer
    x = 44,194.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.