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Finding the Fourth Proportional to 42,122.88, 63,182.30 and 10,533.14

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Solution

The fourth proportional to 42,122.88, 63,182.30 and 10,533.14 is: 15,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,122.88 : 63,182.30 = 10,533.14 : x
  2. Step 2: Convert to fraction form
    42,122.88/63,182.30 = 10,533.14/x
  3. Step 3: Cross multiply
    42,122.88x = 63,182.30 × 10,533.14
  4. Step 4: Simplify right side
    42,122.88x = 665,508,011.42
  5. Step 5: Solve for x
    x = 665,508,011.42/42,122.88
  6. Step 6: Final answer
    x = 15,799.20

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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.