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Finding the Fourth Proportional to 49,075.46, 67,726.17 and 27,856.70

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Solution

The fourth proportional to 49,075.46, 67,726.17 and 27,856.70 is: 38,443.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,075.46 : 67,726.17 = 27,856.70 : x
  2. Step 2: Convert to fraction form
    49,075.46/67,726.17 = 27,856.70/x
  3. Step 3: Cross multiply
    49,075.46x = 67,726.17 × 27,856.70
  4. Step 4: Simplify right side
    49,075.46x = 1,886,627,599.84
  5. Step 5: Solve for x
    x = 1,886,627,599.84/49,075.46
  6. Step 6: Final answer
    x = 38,443.40

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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.