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Finding the Fourth Proportional to 76,545.76, 114,827.28 and 32,164.24

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Solution

The fourth proportional to 76,545.76, 114,827.28 and 32,164.24 is: 48,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,545.76 : 114,827.28 = 32,164.24 : x
  2. Step 2: Convert to fraction form
    76,545.76/114,827.28 = 32,164.24/x
  3. Step 3: Cross multiply
    76,545.76x = 114,827.28 × 32,164.24
  4. Step 4: Simplify right side
    76,545.76x = 3,693,332,192.47
  5. Step 5: Solve for x
    x = 3,693,332,192.47/76,545.76
  6. Step 6: Final answer
    x = 48,249.99

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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.