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Finding the Fourth Proportional to 74,508, 102,814.80 and 43,876.22

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Solution

The fourth proportional to 74,508, 102,814.80 and 43,876.22 is: 60,545.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,508 : 102,814.80 = 43,876.22 : x
  2. Step 2: Convert to fraction form
    74,508/102,814.80 = 43,876.22/x
  3. Step 3: Cross multiply
    74,508x = 102,814.80 × 43,876.22
  4. Step 4: Simplify right side
    74,508x = 4,511,124,784.06
  5. Step 5: Solve for x
    x = 4,511,124,784.06/74,508
  6. Step 6: Final answer
    x = 60,545.51

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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.