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Finding the Fourth Proportional to 65,242.64, 97,863.55 and 18,495.52

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Solution

The fourth proportional to 65,242.64, 97,863.55 and 18,495.52 is: 27,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,242.64 : 97,863.55 = 18,495.52 : x
  2. Step 2: Convert to fraction form
    65,242.64/97,863.55 = 18,495.52/x
  3. Step 3: Cross multiply
    65,242.64x = 97,863.55 × 18,495.52
  4. Step 4: Simplify right side
    65,242.64x = 1,810,037,246.30
  5. Step 5: Solve for x
    x = 1,810,037,246.30/65,242.64
  6. Step 6: Final answer
    x = 27,743.16

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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.