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Finding the Fourth Proportional to 77,871.42, 116,823.56 and 25,276.82

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Solution

The fourth proportional to 77,871.42, 116,823.56 and 25,276.82 is: 37,920.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,871.42 : 116,823.56 = 25,276.82 : x
  2. Step 2: Convert to fraction form
    77,871.42/116,823.56 = 25,276.82/x
  3. Step 3: Cross multiply
    77,871.42x = 116,823.56 × 25,276.82
  4. Step 4: Simplify right side
    77,871.42x = 2,952,927,387.38
  5. Step 5: Solve for x
    x = 2,952,927,387.38/77,871.42
  6. Step 6: Final answer
    x = 37,920.55

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Why These Related Problems?

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