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Finding the Fourth Proportional to 50,437.60, 69,572.88 and 31,324

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Solution

The fourth proportional to 50,437.60, 69,572.88 and 31,324 is: 43,207.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,437.60 : 69,572.88 = 31,324 : x
  2. Step 2: Convert to fraction form
    50,437.60/69,572.88 = 31,324/x
  3. Step 3: Cross multiply
    50,437.60x = 69,572.88 × 31,324
  4. Step 4: Simplify right side
    50,437.60x = 2,179,300,893.12
  5. Step 5: Solve for x
    x = 2,179,300,893.12/50,437.60
  6. Step 6: Final answer
    x = 43,207.86

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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.