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Finding the Fourth Proportional to 100,747.31, 151,088.31 and 33,264.18

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Solution

The fourth proportional to 100,747.31, 151,088.31 and 33,264.18 is: 49,885.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,747.31 : 151,088.31 = 33,264.18 : x
  2. Step 2: Convert to fraction form
    100,747.31/151,088.31 = 33,264.18/x
  3. Step 3: Cross multiply
    100,747.31x = 151,088.31 × 33,264.18
  4. Step 4: Simplify right side
    100,747.31x = 5,025,828,739.74
  5. Step 5: Solve for x
    x = 5,025,828,739.74/100,747.31
  6. Step 6: Final answer
    x = 49,885.49

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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.