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Finding the Fourth Proportional to 102,215.39, 153,329.57 and 32,097.47

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Solution

The fourth proportional to 102,215.39, 153,329.57 and 32,097.47 is: 48,148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,215.39 : 153,329.57 = 32,097.47 : x
  2. Step 2: Convert to fraction form
    102,215.39/153,329.57 = 32,097.47/x
  3. Step 3: Cross multiply
    102,215.39x = 153,329.57 × 32,097.47
  4. Step 4: Simplify right side
    102,215.39x = 4,921,490,346.05
  5. Step 5: Solve for x
    x = 4,921,490,346.05/102,215.39
  6. Step 6: Final answer
    x = 48,148.23

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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.