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Finding the Fourth Proportional to 65,506.64, 98,291.55 and 32,208.62

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Solution

The fourth proportional to 65,506.64, 98,291.55 and 32,208.62 is: 48,328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,506.64 : 98,291.55 = 32,208.62 : x
  2. Step 2: Convert to fraction form
    65,506.64/98,291.55 = 32,208.62/x
  3. Step 3: Cross multiply
    65,506.64x = 98,291.55 × 32,208.62
  4. Step 4: Simplify right side
    65,506.64x = 3,165,835,183.16
  5. Step 5: Solve for x
    x = 3,165,835,183.16/65,506.64
  6. Step 6: Final answer
    x = 48,328.46

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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.