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Finding the Fourth Proportional to 49,066, 67,711.12 and 26,710

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Solution

The fourth proportional to 49,066, 67,711.12 and 26,710 is: 36,859.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,066 : 67,711.12 = 26,710 : x
  2. Step 2: Convert to fraction form
    49,066/67,711.12 = 26,710/x
  3. Step 3: Cross multiply
    49,066x = 67,711.12 × 26,710
  4. Step 4: Simplify right side
    49,066x = 1,808,564,015.20
  5. Step 5: Solve for x
    x = 1,808,564,015.20/49,066
  6. Step 6: Final answer
    x = 36,859.82

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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.