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Finding the Fourth Proportional to 77,308.53, 115,995.80 and 32,956.17

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Solution

The fourth proportional to 77,308.53, 115,995.80 and 32,956.17 is: 49,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,308.53 : 115,995.80 = 32,956.17 : x
  2. Step 2: Convert to fraction form
    77,308.53/115,995.80 = 32,956.17/x
  3. Step 3: Cross multiply
    77,308.53x = 115,995.80 × 32,956.17
  4. Step 4: Simplify right side
    77,308.53x = 3,822,777,304.09
  5. Step 5: Solve for x
    x = 3,822,777,304.09/77,308.53
  6. Step 6: Final answer
    x = 49,448.32

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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.