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Finding the Fourth Proportional to 87,024, 120,094.56 and 47,280

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Solution

The fourth proportional to 87,024, 120,094.56 and 47,280 is: 65,247.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,024 : 120,094.56 = 47,280 : x
  2. Step 2: Convert to fraction form
    87,024/120,094.56 = 47,280/x
  3. Step 3: Cross multiply
    87,024x = 120,094.56 × 47,280
  4. Step 4: Simplify right side
    87,024x = 5,678,070,796.80
  5. Step 5: Solve for x
    x = 5,678,070,796.80/87,024
  6. Step 6: Final answer
    x = 65,247.18

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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.