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Finding the Fourth Proportional to 51,987.03, 71,742 and 28,113.63

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Solution

The fourth proportional to 51,987.03, 71,742 and 28,113.63 is: 38,796.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,987.03 : 71,742 = 28,113.63 : x
  2. Step 2: Convert to fraction form
    51,987.03/71,742 = 28,113.63/x
  3. Step 3: Cross multiply
    51,987.03x = 71,742 × 28,113.63
  4. Step 4: Simplify right side
    51,987.03x = 2,016,928,043.46
  5. Step 5: Solve for x
    x = 2,016,928,043.46/51,987.03
  6. Step 6: Final answer
    x = 38,796.75

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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.