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Finding the Fourth Proportional to 42,154.50, 63,225.37 and 15,853.11

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Solution

The fourth proportional to 42,154.50, 63,225.37 and 15,853.11 is: 23,777.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,154.50 : 63,225.37 = 15,853.11 : x
  2. Step 2: Convert to fraction form
    42,154.50/63,225.37 = 15,853.11/x
  3. Step 3: Cross multiply
    42,154.50x = 63,225.37 × 15,853.11
  4. Step 4: Simplify right side
    42,154.50x = 1,002,318,745.40
  5. Step 5: Solve for x
    x = 1,002,318,745.40/42,154.50
  6. Step 6: Final answer
    x = 23,777.27

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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.