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Finding the Fourth Proportional to 101,374, 152,061.56 and 27,502

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Solution

The fourth proportional to 101,374, 152,061.56 and 27,502 is: 41,253.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,374 : 152,061.56 = 27,502 : x
  2. Step 2: Convert to fraction form
    101,374/152,061.56 = 27,502/x
  3. Step 3: Cross multiply
    101,374x = 152,061.56 × 27,502
  4. Step 4: Simplify right side
    101,374x = 4,181,997,023.12
  5. Step 5: Solve for x
    x = 4,181,997,023.12/101,374
  6. Step 6: Final answer
    x = 41,253.15

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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.