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Finding the Fourth Proportional to 87,826, 121,199.88 and 48,082

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Solution

The fourth proportional to 87,826, 121,199.88 and 48,082 is: 66,353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,826 : 121,199.88 = 48,082 : x
  2. Step 2: Convert to fraction form
    87,826/121,199.88 = 48,082/x
  3. Step 3: Cross multiply
    87,826x = 121,199.88 × 48,082
  4. Step 4: Simplify right side
    87,826x = 5,827,532,630.16
  5. Step 5: Solve for x
    x = 5,827,532,630.16/87,826
  6. Step 6: Final answer
    x = 66,353.16

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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.