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Finding the Fourth Proportional to 101,587.41, 152,391.14 and 35,018.78

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Solution

The fourth proportional to 101,587.41, 152,391.14 and 35,018.78 is: 52,531.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,587.41 : 152,391.14 = 35,018.78 : x
  2. Step 2: Convert to fraction form
    101,587.41/152,391.14 = 35,018.78/x
  3. Step 3: Cross multiply
    101,587.41x = 152,391.14 × 35,018.78
  4. Step 4: Simplify right side
    101,587.41x = 5,336,551,805.61
  5. Step 5: Solve for x
    x = 5,336,551,805.61/101,587.41
  6. Step 6: Final answer
    x = 52,531.63

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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.