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Finding the Fourth Proportional to 102,287.56, 153,409.47 and 32,150.47

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Solution

The fourth proportional to 102,287.56, 153,409.47 and 32,150.47 is: 48,218.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,287.56 : 153,409.47 = 32,150.47 : x
  2. Step 2: Convert to fraction form
    102,287.56/153,409.47 = 32,150.47/x
  3. Step 3: Cross multiply
    102,287.56x = 153,409.47 × 32,150.47
  4. Step 4: Simplify right side
    102,287.56x = 4,932,186,562.95
  5. Step 5: Solve for x
    x = 4,932,186,562.95/102,287.56
  6. Step 6: Final answer
    x = 48,218.83

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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.