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Finding the Fourth Proportional to 34,010.34, 50,963.59 and 14,278.20

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Solution

The fourth proportional to 34,010.34, 50,963.59 and 14,278.20 is: 21,395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,010.34 : 50,963.59 = 14,278.20 : x
  2. Step 2: Convert to fraction form
    34,010.34/50,963.59 = 14,278.20/x
  3. Step 3: Cross multiply
    34,010.34x = 50,963.59 × 14,278.20
  4. Step 4: Simplify right side
    34,010.34x = 727,668,330.74
  5. Step 5: Solve for x
    x = 727,668,330.74/34,010.34
  6. Step 6: Final answer
    x = 21,395.50

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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.