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Finding the Fourth Proportional to 101,874, 152,872.44 and 43,506

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Solution

The fourth proportional to 101,874, 152,872.44 and 43,506 is: 65,285.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,874 : 152,872.44 = 43,506 : x
  2. Step 2: Convert to fraction form
    101,874/152,872.44 = 43,506/x
  3. Step 3: Cross multiply
    101,874x = 152,872.44 × 43,506
  4. Step 4: Simplify right side
    101,874x = 6,650,868,374.64
  5. Step 5: Solve for x
    x = 6,650,868,374.64/101,874
  6. Step 6: Final answer
    x = 65,285.24

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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.