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Finding the Fourth Proportional to 59,698.74, 82,386.27 and 32,842.38

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Solution

The fourth proportional to 59,698.74, 82,386.27 and 32,842.38 is: 45,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,698.74 : 82,386.27 = 32,842.38 : x
  2. Step 2: Convert to fraction form
    59,698.74/82,386.27 = 32,842.38/x
  3. Step 3: Cross multiply
    59,698.74x = 82,386.27 × 32,842.38
  4. Step 4: Simplify right side
    59,698.74x = 2,705,761,186.12
  5. Step 5: Solve for x
    x = 2,705,761,186.12/59,698.74
  6. Step 6: Final answer
    x = 45,323.59

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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.