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Finding the Fourth Proportional to 77,113.62, 115,670.43 and 27,167.40

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Solution

The fourth proportional to 77,113.62, 115,670.43 and 27,167.40 is: 40,751.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,113.62 : 115,670.43 = 27,167.40 : x
  2. Step 2: Convert to fraction form
    77,113.62/115,670.43 = 27,167.40/x
  3. Step 3: Cross multiply
    77,113.62x = 115,670.43 × 27,167.40
  4. Step 4: Simplify right side
    77,113.62x = 3,142,464,839.98
  5. Step 5: Solve for x
    x = 3,142,464,839.98/77,113.62
  6. Step 6: Final answer
    x = 40,751.10

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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.