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Finding the Fourth Proportional to 56,424.78, 77,874.15 and 32,546.46

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Solution

The fourth proportional to 56,424.78, 77,874.15 and 32,546.46 is: 44,918.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,424.78 : 77,874.15 = 32,546.46 : x
  2. Step 2: Convert to fraction form
    56,424.78/77,874.15 = 32,546.46/x
  3. Step 3: Cross multiply
    56,424.78x = 77,874.15 × 32,546.46
  4. Step 4: Simplify right side
    56,424.78x = 2,534,527,908.01
  5. Step 5: Solve for x
    x = 2,534,527,908.01/56,424.78
  6. Step 6: Final answer
    x = 44,918.70

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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.