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Finding the Fourth Proportional to 77,098.68, 106,378.38 and 45,266.04

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Solution

The fourth proportional to 77,098.68, 106,378.38 and 45,266.04 is: 62,456.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,098.68 : 106,378.38 = 45,266.04 : x
  2. Step 2: Convert to fraction form
    77,098.68/106,378.38 = 45,266.04/x
  3. Step 3: Cross multiply
    77,098.68x = 106,378.38 × 45,266.04
  4. Step 4: Simplify right side
    77,098.68x = 4,815,328,004.22
  5. Step 5: Solve for x
    x = 4,815,328,004.22/77,098.68
  6. Step 6: Final answer
    x = 62,456.69

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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.