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Finding the Fourth Proportional to 42,642.67, 58,847.27 and 24,738

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Solution

The fourth proportional to 42,642.67, 58,847.27 and 24,738 is: 34,138.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,642.67 : 58,847.27 = 24,738 : x
  2. Step 2: Convert to fraction form
    42,642.67/58,847.27 = 24,738/x
  3. Step 3: Cross multiply
    42,642.67x = 58,847.27 × 24,738
  4. Step 4: Simplify right side
    42,642.67x = 1,455,763,765.26
  5. Step 5: Solve for x
    x = 1,455,763,765.26/42,642.67
  6. Step 6: Final answer
    x = 34,138.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.