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Finding the Fourth Proportional to 102,148.26, 153,246.93 and 32,027.58

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Solution

The fourth proportional to 102,148.26, 153,246.93 and 32,027.58 is: 48,049.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,148.26 : 153,246.93 = 32,027.58 : x
  2. Step 2: Convert to fraction form
    102,148.26/153,246.93 = 32,027.58/x
  3. Step 3: Cross multiply
    102,148.26x = 153,246.93 × 32,027.58
  4. Step 4: Simplify right side
    102,148.26x = 4,908,128,310.33
  5. Step 5: Solve for x
    x = 4,908,128,310.33/102,148.26
  6. Step 6: Final answer
    x = 48,049.06

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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.