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Finding the Fourth Proportional to 102,100.80, 153,151.20 and 32,001.60

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Solution

The fourth proportional to 102,100.80, 153,151.20 and 32,001.60 is: 48,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,100.80 : 153,151.20 = 32,001.60 : x
  2. Step 2: Convert to fraction form
    102,100.80/153,151.20 = 32,001.60/x
  3. Step 3: Cross multiply
    102,100.80x = 153,151.20 × 32,001.60
  4. Step 4: Simplify right side
    102,100.80x = 4,901,083,441.92
  5. Step 5: Solve for x
    x = 4,901,083,441.92/102,100.80
  6. Step 6: Final answer
    x = 48,002.40

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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.