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Finding the Fourth Proportional to 73,318.40, 109,966.80 and 20,733.20

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Solution

The fourth proportional to 73,318.40, 109,966.80 and 20,733.20 is: 31,096.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,318.40 : 109,966.80 = 20,733.20 : x
  2. Step 2: Convert to fraction form
    73,318.40/109,966.80 = 20,733.20/x
  3. Step 3: Cross multiply
    73,318.40x = 109,966.80 × 20,733.20
  4. Step 4: Simplify right side
    73,318.40x = 2,279,963,657.76
  5. Step 5: Solve for x
    x = 2,279,963,657.76/73,318.40
  6. Step 6: Final answer
    x = 31,096.75

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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.