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Finding the Fourth Proportional to 59,684.19, 82,365.90 and 32,828.43

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Solution

The fourth proportional to 59,684.19, 82,365.90 and 32,828.43 is: 45,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,684.19 : 82,365.90 = 32,828.43 : x
  2. Step 2: Convert to fraction form
    59,684.19/82,365.90 = 32,828.43/x
  3. Step 3: Cross multiply
    59,684.19x = 82,365.90 × 32,828.43
  4. Step 4: Simplify right side
    59,684.19x = 2,703,943,182.54
  5. Step 5: Solve for x
    x = 2,703,943,182.54/59,684.19
  6. Step 6: Final answer
    x = 45,304.18

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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.