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Finding the Fourth Proportional to 144,032, 216,047.36 and 38,861.44

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Solution

The fourth proportional to 144,032, 216,047.36 and 38,861.44 is: 58,291.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,032 : 216,047.36 = 38,861.44 : x
  2. Step 2: Convert to fraction form
    144,032/216,047.36 = 38,861.44/x
  3. Step 3: Cross multiply
    144,032x = 216,047.36 × 38,861.44
  4. Step 4: Simplify right side
    144,032x = 8,395,911,517.80
  5. Step 5: Solve for x
    x = 8,395,911,517.80/144,032
  6. Step 6: Final answer
    x = 58,291.99

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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.