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Finding the Fourth Proportional to 57,152.25, 78,867.68 and 31,658.51

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Solution

The fourth proportional to 57,152.25, 78,867.68 and 31,658.51 is: 43,687.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,152.25 : 78,867.68 = 31,658.51 : x
  2. Step 2: Convert to fraction form
    57,152.25/78,867.68 = 31,658.51/x
  3. Step 3: Cross multiply
    57,152.25x = 78,867.68 × 31,658.51
  4. Step 4: Simplify right side
    57,152.25x = 2,496,833,274.83
  5. Step 5: Solve for x
    x = 2,496,833,274.83/57,152.25
  6. Step 6: Final answer
    x = 43,687.40

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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.