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Finding the Fourth Proportional to 71,810.96, 107,765.66 and 25,063.84

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Solution

The fourth proportional to 71,810.96, 107,765.66 and 25,063.84 is: 37,612.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,810.96 : 107,765.66 = 25,063.84 : x
  2. Step 2: Convert to fraction form
    71,810.96/107,765.66 = 25,063.84/x
  3. Step 3: Cross multiply
    71,810.96x = 107,765.66 × 25,063.84
  4. Step 4: Simplify right side
    71,810.96x = 2,701,020,595.59
  5. Step 5: Solve for x
    x = 2,701,020,595.59/71,810.96
  6. Step 6: Final answer
    x = 37,612.93

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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.