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Finding the Fourth Proportional to 92,407.92, 127,523.02 and 49,966.44

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Solution

The fourth proportional to 92,407.92, 127,523.02 and 49,966.44 is: 68,953.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,407.92 : 127,523.02 = 49,966.44 : x
  2. Step 2: Convert to fraction form
    92,407.92/127,523.02 = 49,966.44/x
  3. Step 3: Cross multiply
    92,407.92x = 127,523.02 × 49,966.44
  4. Step 4: Simplify right side
    92,407.92x = 6,371,871,327.45
  5. Step 5: Solve for x
    x = 6,371,871,327.45/92,407.92
  6. Step 6: Final answer
    x = 68,953.74

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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.