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Finding the Fourth Proportional to 59,498.50, 82,109.01 and 32,642.38

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Solution

The fourth proportional to 59,498.50, 82,109.01 and 32,642.38 is: 45,047.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,498.50 : 82,109.01 = 32,642.38 : x
  2. Step 2: Convert to fraction form
    59,498.50/82,109.01 = 32,642.38/x
  3. Step 3: Cross multiply
    59,498.50x = 82,109.01 × 32,642.38
  4. Step 4: Simplify right side
    59,498.50x = 2,680,233,505.84
  5. Step 5: Solve for x
    x = 2,680,233,505.84/59,498.50
  6. Step 6: Final answer
    x = 45,047.08

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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.