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Finding the Fourth Proportional to 51,865.88, 77,810.34 and 14,927

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Solution

The fourth proportional to 51,865.88, 77,810.34 and 14,927 is: 22,393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,865.88 : 77,810.34 = 14,927 : x
  2. Step 2: Convert to fraction form
    51,865.88/77,810.34 = 14,927/x
  3. Step 3: Cross multiply
    51,865.88x = 77,810.34 × 14,927
  4. Step 4: Simplify right side
    51,865.88x = 1,161,474,945.18
  5. Step 5: Solve for x
    x = 1,161,474,945.18/51,865.88
  6. Step 6: Final answer
    x = 22,393.82

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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.