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Finding the Fourth Proportional to 102,147.91, 153,221.86 and 32,032.69

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Solution

The fourth proportional to 102,147.91, 153,221.86 and 32,032.69 is: 48,049.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,147.91 : 153,221.86 = 32,032.69 : x
  2. Step 2: Convert to fraction form
    102,147.91/153,221.86 = 32,032.69/x
  3. Step 3: Cross multiply
    102,147.91x = 153,221.86 × 32,032.69
  4. Step 4: Simplify right side
    102,147.91x = 4,908,107,999.59
  5. Step 5: Solve for x
    x = 4,908,107,999.59/102,147.91
  6. Step 6: Final answer
    x = 48,049.03

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1.5x scale

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.