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Finding the Fourth Proportional to 65,780.56, 98,609.16 and 32,039.20

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Solution

The fourth proportional to 65,780.56, 98,609.16 and 32,039.20 is: 48,028.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,780.56 : 98,609.16 = 32,039.20 : x
  2. Step 2: Convert to fraction form
    65,780.56/98,609.16 = 32,039.20/x
  3. Step 3: Cross multiply
    65,780.56x = 98,609.16 × 32,039.20
  4. Step 4: Simplify right side
    65,780.56x = 3,159,358,599.07
  5. Step 5: Solve for x
    x = 3,159,358,599.07/65,780.56
  6. Step 6: Final answer
    x = 48,028.76

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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.