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Finding the Fourth Proportional to 102,121.30, 153,182.04 and 32,006.08

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Solution

The fourth proportional to 102,121.30, 153,182.04 and 32,006.08 is: 48,009.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,121.30 : 153,182.04 = 32,006.08 : x
  2. Step 2: Convert to fraction form
    102,121.30/153,182.04 = 32,006.08/x
  3. Step 3: Cross multiply
    102,121.30x = 153,182.04 × 32,006.08
  4. Step 4: Simplify right side
    102,121.30x = 4,902,756,626.80
  5. Step 5: Solve for x
    x = 4,902,756,626.80/102,121.30
  6. Step 6: Final answer
    x = 48,009.15

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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.