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Finding the Fourth Proportional to 65,742.66, 98,567.82 and 23,037.66

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Solution

The fourth proportional to 65,742.66, 98,567.82 and 23,037.66 is: 34,540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,742.66 : 98,567.82 = 23,037.66 : x
  2. Step 2: Convert to fraction form
    65,742.66/98,567.82 = 23,037.66/x
  3. Step 3: Cross multiply
    65,742.66x = 98,567.82 × 23,037.66
  4. Step 4: Simplify right side
    65,742.66x = 2,270,771,924.10
  5. Step 5: Solve for x
    x = 2,270,771,924.10/65,742.66
  6. Step 6: Final answer
    x = 34,540.31

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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.