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Finding the Fourth Proportional to 23,562.50, 35,358.27 and 21,142.18

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Solution

The fourth proportional to 23,562.50, 35,358.27 and 21,142.18 is: 31,726.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,562.50 : 35,358.27 = 21,142.18 : x
  2. Step 2: Convert to fraction form
    23,562.50/35,358.27 = 21,142.18/x
  3. Step 3: Cross multiply
    23,562.50x = 35,358.27 × 21,142.18
  4. Step 4: Simplify right side
    23,562.50x = 747,550,908.83
  5. Step 5: Solve for x
    x = 747,550,908.83/23,562.50
  6. Step 6: Final answer
    x = 31,726.30

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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.