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Finding the Fourth Proportional to 97,737.60, 146,587.20 and 32,073.60

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Solution

The fourth proportional to 97,737.60, 146,587.20 and 32,073.60 is: 48,104.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,737.60 : 146,587.20 = 32,073.60 : x
  2. Step 2: Convert to fraction form
    97,737.60/146,587.20 = 32,073.60/x
  3. Step 3: Cross multiply
    97,737.60x = 146,587.20 × 32,073.60
  4. Step 4: Simplify right side
    97,737.60x = 4,701,579,217.92
  5. Step 5: Solve for x
    x = 4,701,579,217.92/97,737.60
  6. Step 6: Final answer
    x = 48,104.10

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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.