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Finding the Fourth Proportional to 77,002, 106,263.08 and 41,674

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Solution

The fourth proportional to 77,002, 106,263.08 and 41,674 is: 57,510.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,002 : 106,263.08 = 41,674 : x
  2. Step 2: Convert to fraction form
    77,002/106,263.08 = 41,674/x
  3. Step 3: Cross multiply
    77,002x = 106,263.08 × 41,674
  4. Step 4: Simplify right side
    77,002x = 4,428,407,595.92
  5. Step 5: Solve for x
    x = 4,428,407,595.92/77,002
  6. Step 6: Final answer
    x = 57,510.29

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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.