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Finding the Fourth Proportional to 56,374.64, 77,761.80 and 36,257.72

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Solution

The fourth proportional to 56,374.64, 77,761.80 and 36,257.72 is: 50,013.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,374.64 : 77,761.80 = 36,257.72 : x
  2. Step 2: Convert to fraction form
    56,374.64/77,761.80 = 36,257.72/x
  3. Step 3: Cross multiply
    56,374.64x = 77,761.80 × 36,257.72
  4. Step 4: Simplify right side
    56,374.64x = 2,819,465,571.10
  5. Step 5: Solve for x
    x = 2,819,465,571.10/56,374.64
  6. Step 6: Final answer
    x = 50,013.01

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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.