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Finding the Fourth Proportional to 42,832.72, 64,241.34 and 11,660.68

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Solution

The fourth proportional to 42,832.72, 64,241.34 and 11,660.68 is: 17,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,832.72 : 64,241.34 = 11,660.68 : x
  2. Step 2: Convert to fraction form
    42,832.72/64,241.34 = 11,660.68/x
  3. Step 3: Cross multiply
    42,832.72x = 64,241.34 × 11,660.68
  4. Step 4: Simplify right side
    42,832.72x = 749,097,708.51
  5. Step 5: Solve for x
    x = 749,097,708.51/42,832.72
  6. Step 6: Final answer
    x = 17,488.91

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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.