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Finding the Fourth Proportional to 77,314.74, 115,984.71 and 27,384.01

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Solution

The fourth proportional to 77,314.74, 115,984.71 and 27,384.01 is: 41,080.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,314.74 : 115,984.71 = 27,384.01 : x
  2. Step 2: Convert to fraction form
    77,314.74/115,984.71 = 27,384.01/x
  3. Step 3: Cross multiply
    77,314.74x = 115,984.71 × 27,384.01
  4. Step 4: Simplify right side
    77,314.74x = 3,176,126,168.53
  5. Step 5: Solve for x
    x = 3,176,126,168.53/77,314.74
  6. Step 6: Final answer
    x = 41,080.48

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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.