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Finding the Fourth Proportional to 56,395.57, 77,826.66 and 30,901.43

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Solution

The fourth proportional to 56,395.57, 77,826.66 and 30,901.43 is: 42,644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,395.57 : 77,826.66 = 30,901.43 : x
  2. Step 2: Convert to fraction form
    56,395.57/77,826.66 = 30,901.43/x
  3. Step 3: Cross multiply
    56,395.57x = 77,826.66 × 30,901.43
  4. Step 4: Simplify right side
    56,395.57x = 2,404,954,737.05
  5. Step 5: Solve for x
    x = 2,404,954,737.05/56,395.57
  6. Step 6: Final answer
    x = 42,644.39

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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.