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Finding the Fourth Proportional to 101,713.64, 152,549.57 and 38,512.01

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Solution

The fourth proportional to 101,713.64, 152,549.57 and 38,512.01 is: 57,760.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,713.64 : 152,549.57 = 38,512.01 : x
  2. Step 2: Convert to fraction form
    101,713.64/152,549.57 = 38,512.01/x
  3. Step 3: Cross multiply
    101,713.64x = 152,549.57 × 38,512.01
  4. Step 4: Simplify right side
    101,713.64x = 5,874,990,565.34
  5. Step 5: Solve for x
    x = 5,874,990,565.34/101,713.64
  6. Step 6: Final answer
    x = 57,760.11

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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.