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Finding the Fourth Proportional to 77,275.38, 106,623.63 and 45,432.66

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Solution

The fourth proportional to 77,275.38, 106,623.63 and 45,432.66 is: 62,687.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,275.38 : 106,623.63 = 45,432.66 : x
  2. Step 2: Convert to fraction form
    77,275.38/106,623.63 = 45,432.66/x
  3. Step 3: Cross multiply
    77,275.38x = 106,623.63 × 45,432.66
  4. Step 4: Simplify right side
    77,275.38x = 4,844,195,129.76
  5. Step 5: Solve for x
    x = 4,844,195,129.76/77,275.38
  6. Step 6: Final answer
    x = 62,687.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.