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Finding the Fourth Proportional to 131,904.33, 197,854.65 and 32,064.21

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Solution

The fourth proportional to 131,904.33, 197,854.65 and 32,064.21 is: 48,095.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,904.33 : 197,854.65 = 32,064.21 : x
  2. Step 2: Convert to fraction form
    131,904.33/197,854.65 = 32,064.21/x
  3. Step 3: Cross multiply
    131,904.33x = 197,854.65 × 32,064.21
  4. Step 4: Simplify right side
    131,904.33x = 6,344,053,047.08
  5. Step 5: Solve for x
    x = 6,344,053,047.08/131,904.33
  6. Step 6: Final answer
    x = 48,095.87

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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.