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Finding the Fourth Proportional to 47,189.12, 70,710.22 and 17,599

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Solution

The fourth proportional to 47,189.12, 70,710.22 and 17,599 is: 26,371.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,189.12 : 70,710.22 = 17,599 : x
  2. Step 2: Convert to fraction form
    47,189.12/70,710.22 = 17,599/x
  3. Step 3: Cross multiply
    47,189.12x = 70,710.22 × 17,599
  4. Step 4: Simplify right side
    47,189.12x = 1,244,429,161.78
  5. Step 5: Solve for x
    x = 1,244,429,161.78/47,189.12
  6. Step 6: Final answer
    x = 26,371.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.