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Finding the Fourth Proportional to 87,102, 130,702.88 and 47,122.28

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Solution

The fourth proportional to 87,102, 130,702.88 and 47,122.28 is: 70,710.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,102 : 130,702.88 = 47,122.28 : x
  2. Step 2: Convert to fraction form
    87,102/130,702.88 = 47,122.28/x
  3. Step 3: Cross multiply
    87,102x = 130,702.88 × 47,122.28
  4. Step 4: Simplify right side
    87,102x = 6,159,017,708.17
  5. Step 5: Solve for x
    x = 6,159,017,708.17/87,102
  6. Step 6: Final answer
    x = 70,710.41

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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.