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Finding the Fourth Proportional to 102,330.54, 153,488.32 and 32,229.90

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Solution

The fourth proportional to 102,330.54, 153,488.32 and 32,229.90 is: 48,342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,330.54 : 153,488.32 = 32,229.90 : x
  2. Step 2: Convert to fraction form
    102,330.54/153,488.32 = 32,229.90/x
  3. Step 3: Cross multiply
    102,330.54x = 153,488.32 × 32,229.90
  4. Step 4: Simplify right side
    102,330.54x = 4,946,913,204.77
  5. Step 5: Solve for x
    x = 4,946,913,204.77/102,330.54
  6. Step 6: Final answer
    x = 48,342.49

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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.