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Finding the Fourth Proportional to 48,002.85, 72,008.10 and 12,942

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Solution

The fourth proportional to 48,002.85, 72,008.10 and 12,942 is: 19,414.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,002.85 : 72,008.10 = 12,942 : x
  2. Step 2: Convert to fraction form
    48,002.85/72,008.10 = 12,942/x
  3. Step 3: Cross multiply
    48,002.85x = 72,008.10 × 12,942
  4. Step 4: Simplify right side
    48,002.85x = 931,928,830.20
  5. Step 5: Solve for x
    x = 931,928,830.20/48,002.85
  6. Step 6: Final answer
    x = 19,414.03

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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.