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Finding the Fourth Proportional to 42,642.86, 63,962.46 and 14,565.42

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Solution

The fourth proportional to 42,642.86, 63,962.46 and 14,565.42 is: 21,847.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,642.86 : 63,962.46 = 14,565.42 : x
  2. Step 2: Convert to fraction form
    42,642.86/63,962.46 = 14,565.42/x
  3. Step 3: Cross multiply
    42,642.86x = 63,962.46 × 14,565.42
  4. Step 4: Simplify right side
    42,642.86x = 931,640,094.13
  5. Step 5: Solve for x
    x = 931,640,094.13/42,642.86
  6. Step 6: Final answer
    x = 21,847.51

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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.