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Finding the Fourth Proportional to 22,041.52, 32,989.14 and 20,071.68

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Solution

The fourth proportional to 22,041.52, 32,989.14 and 20,071.68 is: 30,040.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,041.52 : 32,989.14 = 20,071.68 : x
  2. Step 2: Convert to fraction form
    22,041.52/32,989.14 = 20,071.68/x
  3. Step 3: Cross multiply
    22,041.52x = 32,989.14 × 20,071.68
  4. Step 4: Simplify right side
    22,041.52x = 662,147,461.56
  5. Step 5: Solve for x
    x = 662,147,461.56/22,041.52
  6. Step 6: Final answer
    x = 30,040.92

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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.