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Finding the Fourth Proportional to 59,032.74, 81,462.80 and 32,174.68

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Solution

The fourth proportional to 59,032.74, 81,462.80 and 32,174.68 is: 44,399.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,032.74 : 81,462.80 = 32,174.68 : x
  2. Step 2: Convert to fraction form
    59,032.74/81,462.80 = 32,174.68/x
  3. Step 3: Cross multiply
    59,032.74x = 81,462.80 × 32,174.68
  4. Step 4: Simplify right side
    59,032.74x = 2,621,039,521.90
  5. Step 5: Solve for x
    x = 2,621,039,521.90/59,032.74
  6. Step 6: Final answer
    x = 44,399.76

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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.