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Finding the Fourth Proportional to 56,554, 78,047.76 and 31,405.12

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Solution

The fourth proportional to 56,554, 78,047.76 and 31,405.12 is: 43,340.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,554 : 78,047.76 = 31,405.12 : x
  2. Step 2: Convert to fraction form
    56,554/78,047.76 = 31,405.12/x
  3. Step 3: Cross multiply
    56,554x = 78,047.76 × 31,405.12
  4. Step 4: Simplify right side
    56,554x = 2,451,099,268.53
  5. Step 5: Solve for x
    x = 2,451,099,268.53/56,554
  6. Step 6: Final answer
    x = 43,340.86

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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.