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Finding the Fourth Proportional to 57,678.24, 79,595.52 and 31,182.24

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Solution

The fourth proportional to 57,678.24, 79,595.52 and 31,182.24 is: 43,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,678.24 : 79,595.52 = 31,182.24 : x
  2. Step 2: Convert to fraction form
    57,678.24/79,595.52 = 31,182.24/x
  3. Step 3: Cross multiply
    57,678.24x = 79,595.52 × 31,182.24
  4. Step 4: Simplify right side
    57,678.24x = 2,481,966,607.56
  5. Step 5: Solve for x
    x = 2,481,966,607.56/57,678.24
  6. Step 6: Final answer
    x = 43,031.25

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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.