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Finding the Fourth Proportional to 65,735.60, 98,549.40 and 28,324.40

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Solution

The fourth proportional to 65,735.60, 98,549.40 and 28,324.40 is: 42,463.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,735.60 : 98,549.40 = 28,324.40 : x
  2. Step 2: Convert to fraction form
    65,735.60/98,549.40 = 28,324.40/x
  3. Step 3: Cross multiply
    65,735.60x = 98,549.40 × 28,324.40
  4. Step 4: Simplify right side
    65,735.60x = 2,791,352,625.36
  5. Step 5: Solve for x
    x = 2,791,352,625.36/65,735.60
  6. Step 6: Final answer
    x = 42,463.33

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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.