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Finding the Fourth Proportional to 42,652.25, 58,797.76 and 29,865.11

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Solution

The fourth proportional to 42,652.25, 58,797.76 and 29,865.11 is: 41,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,652.25 : 58,797.76 = 29,865.11 : x
  2. Step 2: Convert to fraction form
    42,652.25/58,797.76 = 29,865.11/x
  3. Step 3: Cross multiply
    42,652.25x = 58,797.76 × 29,865.11
  4. Step 4: Simplify right side
    42,652.25x = 1,756,001,570.15
  5. Step 5: Solve for x
    x = 1,756,001,570.15/42,652.25
  6. Step 6: Final answer
    x = 41,170.20

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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.