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Finding the Fourth Proportional to 102,253.50, 153,370.26 and 32,120.46

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Solution

The fourth proportional to 102,253.50, 153,370.26 and 32,120.46 is: 48,177.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,253.50 : 153,370.26 = 32,120.46 : x
  2. Step 2: Convert to fraction form
    102,253.50/153,370.26 = 32,120.46/x
  3. Step 3: Cross multiply
    102,253.50x = 153,370.26 × 32,120.46
  4. Step 4: Simplify right side
    102,253.50x = 4,926,323,301.52
  5. Step 5: Solve for x
    x = 4,926,323,301.52/102,253.50
  6. Step 6: Final answer
    x = 48,177.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.