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Finding the Fourth Proportional to 102,147.39, 153,221.09 and 32,032.35

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Solution

The fourth proportional to 102,147.39, 153,221.09 and 32,032.35 is: 48,048.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,147.39 : 153,221.09 = 32,032.35 : x
  2. Step 2: Convert to fraction form
    102,147.39/153,221.09 = 32,032.35/x
  3. Step 3: Cross multiply
    102,147.39x = 153,221.09 × 32,032.35
  4. Step 4: Simplify right side
    102,147.39x = 4,908,031,422.10
  5. Step 5: Solve for x
    x = 4,908,031,422.10/102,147.39
  6. Step 6: Final answer
    x = 48,048.53

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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.