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Finding the Fourth Proportional to 64,055.79, 96,142.34 and 32,487.66

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Solution

The fourth proportional to 64,055.79, 96,142.34 and 32,487.66 is: 48,761.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,055.79 : 96,142.34 = 32,487.66 : x
  2. Step 2: Convert to fraction form
    64,055.79/96,142.34 = 32,487.66/x
  3. Step 3: Cross multiply
    64,055.79x = 96,142.34 × 32,487.66
  4. Step 4: Simplify right side
    64,055.79x = 3,123,439,464.34
  5. Step 5: Solve for x
    x = 3,123,439,464.34/64,055.79
  6. Step 6: Final answer
    x = 48,761.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.