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Finding the Fourth Proportional to 42,652.26, 63,978.80 and 16,350.75

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Solution

The fourth proportional to 42,652.26, 63,978.80 and 16,350.75 is: 24,526.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,652.26 : 63,978.80 = 16,350.75 : x
  2. Step 2: Convert to fraction form
    42,652.26/63,978.80 = 16,350.75/x
  3. Step 3: Cross multiply
    42,652.26x = 63,978.80 × 16,350.75
  4. Step 4: Simplify right side
    42,652.26x = 1,046,101,364.10
  5. Step 5: Solve for x
    x = 1,046,101,364.10/42,652.26
  6. Step 6: Final answer
    x = 24,526.28

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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.