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Finding the Fourth Proportional to 65,454.80, 98,117.40 and 32,147.60

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Solution

The fourth proportional to 65,454.80, 98,117.40 and 32,147.60 is: 48,189.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,454.80 : 98,117.40 = 32,147.60 : x
  2. Step 2: Convert to fraction form
    65,454.80/98,117.40 = 32,147.60/x
  3. Step 3: Cross multiply
    65,454.80x = 98,117.40 × 32,147.60
  4. Step 4: Simplify right side
    65,454.80x = 3,154,238,928.24
  5. Step 5: Solve for x
    x = 3,154,238,928.24/65,454.80
  6. Step 6: Final answer
    x = 48,189.57

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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.