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Finding the Fourth Proportional to 56,630.59, 78,141.61 and 31,138

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Solution

The fourth proportional to 56,630.59, 78,141.61 and 31,138 is: 42,965.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,630.59 : 78,141.61 = 31,138 : x
  2. Step 2: Convert to fraction form
    56,630.59/78,141.61 = 31,138/x
  3. Step 3: Cross multiply
    56,630.59x = 78,141.61 × 31,138
  4. Step 4: Simplify right side
    56,630.59x = 2,433,173,452.18
  5. Step 5: Solve for x
    x = 2,433,173,452.18/56,630.59
  6. Step 6: Final answer
    x = 42,965.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.