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Finding the Fourth Proportional to 102,149.26, 153,248.43 and 32,028.58

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Solution

The fourth proportional to 102,149.26, 153,248.43 and 32,028.58 is: 48,050.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,149.26 : 153,248.43 = 32,028.58 : x
  2. Step 2: Convert to fraction form
    102,149.26/153,248.43 = 32,028.58/x
  3. Step 3: Cross multiply
    102,149.26x = 153,248.43 × 32,028.58
  4. Step 4: Simplify right side
    102,149.26x = 4,908,329,600.13
  5. Step 5: Solve for x
    x = 4,908,329,600.13/102,149.26
  6. Step 6: Final answer
    x = 48,050.56

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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.