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Finding the Fourth Proportional to 123,422.92, 185,009.74 and 48,595.58

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Solution

The fourth proportional to 123,422.92, 185,009.74 and 48,595.58 is: 72,844.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,422.92 : 185,009.74 = 48,595.58 : x
  2. Step 2: Convert to fraction form
    123,422.92/185,009.74 = 48,595.58/x
  3. Step 3: Cross multiply
    123,422.92x = 185,009.74 × 48,595.58
  4. Step 4: Simplify right side
    123,422.92x = 8,990,655,620.95
  5. Step 5: Solve for x
    x = 8,990,655,620.95/123,422.92
  6. Step 6: Final answer
    x = 72,844.30

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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.