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Finding the Fourth Proportional to 59,682.88, 82,362.40 and 32,827.20

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Solution

The fourth proportional to 59,682.88, 82,362.40 and 32,827.20 is: 45,301.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,682.88 : 82,362.40 = 32,827.20 : x
  2. Step 2: Convert to fraction form
    59,682.88/82,362.40 = 32,827.20/x
  3. Step 3: Cross multiply
    59,682.88x = 82,362.40 × 32,827.20
  4. Step 4: Simplify right side
    59,682.88x = 2,703,726,977.28
  5. Step 5: Solve for x
    x = 2,703,726,977.28/59,682.88
  6. Step 6: Final answer
    x = 45,301.55

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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.