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Finding the Fourth Proportional to 51,808.75, 71,498.70 and 30,587.56

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Solution

The fourth proportional to 51,808.75, 71,498.70 and 30,587.56 is: 42,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,808.75 : 71,498.70 = 30,587.56 : x
  2. Step 2: Convert to fraction form
    51,808.75/71,498.70 = 30,587.56/x
  3. Step 3: Cross multiply
    51,808.75x = 71,498.70 × 30,587.56
  4. Step 4: Simplify right side
    51,808.75x = 2,186,970,776.17
  5. Step 5: Solve for x
    x = 2,186,970,776.17/51,808.75
  6. Step 6: Final answer
    x = 42,212.38

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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.