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Finding the Fourth Proportional to 80,780.68, 121,182.54 and 25,381

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Solution

The fourth proportional to 80,780.68, 121,182.54 and 25,381 is: 38,075.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,780.68 : 121,182.54 = 25,381 : x
  2. Step 2: Convert to fraction form
    80,780.68/121,182.54 = 25,381/x
  3. Step 3: Cross multiply
    80,780.68x = 121,182.54 × 25,381
  4. Step 4: Simplify right side
    80,780.68x = 3,075,734,047.74
  5. Step 5: Solve for x
    x = 3,075,734,047.74/80,780.68
  6. Step 6: Final answer
    x = 38,075.12

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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.