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Finding the Fourth Proportional to 42,862.59, 64,293.12 and 11,697.84

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Solution

The fourth proportional to 42,862.59, 64,293.12 and 11,697.84 is: 17,546.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,862.59 : 64,293.12 = 11,697.84 : x
  2. Step 2: Convert to fraction form
    42,862.59/64,293.12 = 11,697.84/x
  3. Step 3: Cross multiply
    42,862.59x = 64,293.12 × 11,697.84
  4. Step 4: Simplify right side
    42,862.59x = 752,090,630.86
  5. Step 5: Solve for x
    x = 752,090,630.86/42,862.59
  6. Step 6: Final answer
    x = 17,546.55

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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.