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Finding the Fourth Proportional to 57,074.48, 78,765.10 and 31,580.40

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Solution

The fourth proportional to 57,074.48, 78,765.10 and 31,580.40 is: 43,582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,074.48 : 78,765.10 = 31,580.40 : x
  2. Step 2: Convert to fraction form
    57,074.48/78,765.10 = 31,580.40/x
  3. Step 3: Cross multiply
    57,074.48x = 78,765.10 × 31,580.40
  4. Step 4: Simplify right side
    57,074.48x = 2,487,433,364.04
  5. Step 5: Solve for x
    x = 2,487,433,364.04/57,074.48
  6. Step 6: Final answer
    x = 43,582.23

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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.