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Finding the Fourth Proportional to 40,581.33, 61,009.08 and 32,780.22

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Solution

The fourth proportional to 40,581.33, 61,009.08 and 32,780.22 is: 49,281.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,581.33 : 61,009.08 = 32,780.22 : x
  2. Step 2: Convert to fraction form
    40,581.33/61,009.08 = 32,780.22/x
  3. Step 3: Cross multiply
    40,581.33x = 61,009.08 × 32,780.22
  4. Step 4: Simplify right side
    40,581.33x = 1,999,891,064.40
  5. Step 5: Solve for x
    x = 1,999,891,064.40/40,581.33
  6. Step 6: Final answer
    x = 49,281.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.