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Finding the Fourth Proportional to 82,856.76, 124,264.14 and 23,692.68

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Solution

The fourth proportional to 82,856.76, 124,264.14 and 23,692.68 is: 35,533.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,856.76 : 124,264.14 = 23,692.68 : x
  2. Step 2: Convert to fraction form
    82,856.76/124,264.14 = 23,692.68/x
  3. Step 3: Cross multiply
    82,856.76x = 124,264.14 × 23,692.68
  4. Step 4: Simplify right side
    82,856.76x = 2,944,150,504.50
  5. Step 5: Solve for x
    x = 2,944,150,504.50/82,856.76
  6. Step 6: Final answer
    x = 35,533.02

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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.