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Finding the Fourth Proportional to 42,753.24, 64,129.86 and 11,588.49

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Solution

The fourth proportional to 42,753.24, 64,129.86 and 11,588.49 is: 17,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,753.24 : 64,129.86 = 11,588.49 : x
  2. Step 2: Convert to fraction form
    42,753.24/64,129.86 = 11,588.49/x
  3. Step 3: Cross multiply
    42,753.24x = 64,129.86 × 11,588.49
  4. Step 4: Simplify right side
    42,753.24x = 743,168,241.31
  5. Step 5: Solve for x
    x = 743,168,241.31/42,753.24
  6. Step 6: Final answer
    x = 17,382.74

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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.