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Finding the Fourth Proportional to 101,019.24, 151,512.48 and 47,711.16

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Solution

The fourth proportional to 101,019.24, 151,512.48 and 47,711.16 is: 71,559.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,019.24 : 151,512.48 = 47,711.16 : x
  2. Step 2: Convert to fraction form
    101,019.24/151,512.48 = 47,711.16/x
  3. Step 3: Cross multiply
    101,019.24x = 151,512.48 × 47,711.16
  4. Step 4: Simplify right side
    101,019.24x = 7,228,836,175.28
  5. Step 5: Solve for x
    x = 7,228,836,175.28/101,019.24
  6. Step 6: Final answer
    x = 71,559.00

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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.