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Finding the Fourth Proportional to 51,962.60, 71,708.16 and 28,089.32

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Solution

The fourth proportional to 51,962.60, 71,708.16 and 28,089.32 is: 38,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,962.60 : 71,708.16 = 28,089.32 : x
  2. Step 2: Convert to fraction form
    51,962.60/71,708.16 = 28,089.32/x
  3. Step 3: Cross multiply
    51,962.60x = 71,708.16 × 28,089.32
  4. Step 4: Simplify right side
    51,962.60x = 2,014,233,452.85
  5. Step 5: Solve for x
    x = 2,014,233,452.85/51,962.60
  6. Step 6: Final answer
    x = 38,763.14

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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.