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Finding the Fourth Proportional to 51,844.76, 77,767.07 and 16,309.22

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Solution

The fourth proportional to 51,844.76, 77,767.07 and 16,309.22 is: 24,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,844.76 : 77,767.07 = 16,309.22 : x
  2. Step 2: Convert to fraction form
    51,844.76/77,767.07 = 16,309.22/x
  3. Step 3: Cross multiply
    51,844.76x = 77,767.07 × 16,309.22
  4. Step 4: Simplify right side
    51,844.76x = 1,268,319,783.00
  5. Step 5: Solve for x
    x = 1,268,319,783.00/51,844.76
  6. Step 6: Final answer
    x = 24,463.80

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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.