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Finding the Fourth Proportional to 102,123.20, 153,189.60 and 32,004.80

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Solution

The fourth proportional to 102,123.20, 153,189.60 and 32,004.80 is: 48,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,123.20 : 153,189.60 = 32,004.80 : x
  2. Step 2: Convert to fraction form
    102,123.20/153,189.60 = 32,004.80/x
  3. Step 3: Cross multiply
    102,123.20x = 153,189.60 × 32,004.80
  4. Step 4: Simplify right side
    102,123.20x = 4,902,802,510.08
  5. Step 5: Solve for x
    x = 4,902,802,510.08/102,123.20
  6. Step 6: Final answer
    x = 48,008.70

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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.