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Finding the Fourth Proportional to 53,830.93, 80,719.25 and 31,348.87

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Solution

The fourth proportional to 53,830.93, 80,719.25 and 31,348.87 is: 47,007.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,830.93 : 80,719.25 = 31,348.87 : x
  2. Step 2: Convert to fraction form
    53,830.93/80,719.25 = 31,348.87/x
  3. Step 3: Cross multiply
    53,830.93x = 80,719.25 × 31,348.87
  4. Step 4: Simplify right side
    53,830.93x = 2,530,457,274.75
  5. Step 5: Solve for x
    x = 2,530,457,274.75/53,830.93
  6. Step 6: Final answer
    x = 47,007.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.