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Finding the Fourth Proportional to 77,250.74, 115,831.00 and 32,854.64

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Solution

The fourth proportional to 77,250.74, 115,831.00 and 32,854.64 is: 49,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,250.74 : 115,831.00 = 32,854.64 : x
  2. Step 2: Convert to fraction form
    77,250.74/115,831.00 = 32,854.64/x
  3. Step 3: Cross multiply
    77,250.74x = 115,831.00 × 32,854.64
  4. Step 4: Simplify right side
    77,250.74x = 3,805,586,035.99
  5. Step 5: Solve for x
    x = 3,805,586,035.99/77,250.74
  6. Step 6: Final answer
    x = 49,262.78

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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.