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Finding the Fourth Proportional to 77,475.76, 116,175.28 and 27,548.40

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Solution

The fourth proportional to 77,475.76, 116,175.28 and 27,548.40 is: 41,308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,475.76 : 116,175.28 = 27,548.40 : x
  2. Step 2: Convert to fraction form
    77,475.76/116,175.28 = 27,548.40/x
  3. Step 3: Cross multiply
    77,475.76x = 116,175.28 × 27,548.40
  4. Step 4: Simplify right side
    77,475.76x = 3,200,443,083.55
  5. Step 5: Solve for x
    x = 3,200,443,083.55/77,475.76
  6. Step 6: Final answer
    x = 41,308.96

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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.