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Finding the Fourth Proportional to 65,713.10, 98,515.65 and 28,301.90

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Solution

The fourth proportional to 65,713.10, 98,515.65 and 28,301.90 is: 42,429.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,713.10 : 98,515.65 = 28,301.90 : x
  2. Step 2: Convert to fraction form
    65,713.10/98,515.65 = 28,301.90/x
  3. Step 3: Cross multiply
    65,713.10x = 98,515.65 × 28,301.90
  4. Step 4: Simplify right side
    65,713.10x = 2,788,180,074.74
  5. Step 5: Solve for x
    x = 2,788,180,074.74/65,713.10
  6. Step 6: Final answer
    x = 42,429.59

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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.