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Finding the Fourth Proportional to 59,684.25, 82,364.96 and 32,827.20

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Solution

The fourth proportional to 59,684.25, 82,364.96 and 32,827.20 is: 45,301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,684.25 : 82,364.96 = 32,827.20 : x
  2. Step 2: Convert to fraction form
    59,684.25/82,364.96 = 32,827.20/x
  3. Step 3: Cross multiply
    59,684.25x = 82,364.96 × 32,827.20
  4. Step 4: Simplify right side
    59,684.25x = 2,703,811,014.91
  5. Step 5: Solve for x
    x = 2,703,811,014.91/59,684.25
  6. Step 6: Final answer
    x = 45,301.92

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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.