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Finding the Fourth Proportional to 77,312.76, 115,965.48 and 27,392.04

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Solution

The fourth proportional to 77,312.76, 115,965.48 and 27,392.04 is: 41,086.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,312.76 : 115,965.48 = 27,392.04 : x
  2. Step 2: Convert to fraction form
    77,312.76/115,965.48 = 27,392.04/x
  3. Step 3: Cross multiply
    77,312.76x = 115,965.48 × 27,392.04
  4. Step 4: Simplify right side
    77,312.76x = 3,176,531,066.78
  5. Step 5: Solve for x
    x = 3,176,531,066.78/77,312.76
  6. Step 6: Final answer
    x = 41,086.76

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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.