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Finding the Fourth Proportional to 27,159.25, 40,742.52 and 11,580.52

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Solution

The fourth proportional to 27,159.25, 40,742.52 and 11,580.52 is: 17,372.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,159.25 : 40,742.52 = 11,580.52 : x
  2. Step 2: Convert to fraction form
    27,159.25/40,742.52 = 11,580.52/x
  3. Step 3: Cross multiply
    27,159.25x = 40,742.52 × 11,580.52
  4. Step 4: Simplify right side
    27,159.25x = 471,819,567.71
  5. Step 5: Solve for x
    x = 471,819,567.71/27,159.25
  6. Step 6: Final answer
    x = 17,372.33

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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.