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Finding the Fourth Proportional to 56,462.64, 77,916.24 and 31,311.60

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Solution

The fourth proportional to 56,462.64, 77,916.24 and 31,311.60 is: 43,208.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,462.64 : 77,916.24 = 31,311.60 : x
  2. Step 2: Convert to fraction form
    56,462.64/77,916.24 = 31,311.60/x
  3. Step 3: Cross multiply
    56,462.64x = 77,916.24 × 31,311.60
  4. Step 4: Simplify right side
    56,462.64x = 2,439,682,140.38
  5. Step 5: Solve for x
    x = 2,439,682,140.38/56,462.64
  6. Step 6: Final answer
    x = 43,208.79

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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.