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Finding the Fourth Proportional to 92,657.60, 138,902.16 and 48,232.16

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Solution

The fourth proportional to 92,657.60, 138,902.16 and 48,232.16 is: 72,304.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,657.60 : 138,902.16 = 48,232.16 : x
  2. Step 2: Convert to fraction form
    92,657.60/138,902.16 = 48,232.16/x
  3. Step 3: Cross multiply
    92,657.60x = 138,902.16 × 48,232.16
  4. Step 4: Simplify right side
    92,657.60x = 6,699,551,205.47
  5. Step 5: Solve for x
    x = 6,699,551,205.47/92,657.60
  6. Step 6: Final answer
    x = 72,304.39

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Why These Related Problems?

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