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Finding the Fourth Proportional to 65,656.48, 98,470.32 and 18,899.20

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Solution

The fourth proportional to 65,656.48, 98,470.32 and 18,899.20 is: 28,344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,656.48 : 98,470.32 = 18,899.20 : x
  2. Step 2: Convert to fraction form
    65,656.48/98,470.32 = 18,899.20/x
  3. Step 3: Cross multiply
    65,656.48x = 98,470.32 × 18,899.20
  4. Step 4: Simplify right side
    65,656.48x = 1,861,010,271.74
  5. Step 5: Solve for x
    x = 1,861,010,271.74/65,656.48
  6. Step 6: Final answer
    x = 28,344.65

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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.