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Finding the Fourth Proportional to 51,987.62, 71,742.51 and 29,326.46

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Solution

The fourth proportional to 51,987.62, 71,742.51 and 29,326.46 is: 40,470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,987.62 : 71,742.51 = 29,326.46 : x
  2. Step 2: Convert to fraction form
    51,987.62/71,742.51 = 29,326.46/x
  3. Step 3: Cross multiply
    51,987.62x = 71,742.51 × 29,326.46
  4. Step 4: Simplify right side
    51,987.62x = 2,103,953,491.10
  5. Step 5: Solve for x
    x = 2,103,953,491.10/51,987.62
  6. Step 6: Final answer
    x = 40,470.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.