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Finding the Fourth Proportional to 56,126, 77,454.96 and 30,974.96

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Solution

The fourth proportional to 56,126, 77,454.96 and 30,974.96 is: 42,746.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,126 : 77,454.96 = 30,974.96 : x
  2. Step 2: Convert to fraction form
    56,126/77,454.96 = 30,974.96/x
  3. Step 3: Cross multiply
    56,126x = 77,454.96 × 30,974.96
  4. Step 4: Simplify right side
    56,126x = 2,399,164,287.80
  5. Step 5: Solve for x
    x = 2,399,164,287.80/56,126
  6. Step 6: Final answer
    x = 42,746.04

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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.