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Finding the Fourth Proportional to 34,041, 51,061.14 and 13,279.08

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Solution

The fourth proportional to 34,041, 51,061.14 and 13,279.08 is: 19,918.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,041 : 51,061.14 = 13,279.08 : x
  2. Step 2: Convert to fraction form
    34,041/51,061.14 = 13,279.08/x
  3. Step 3: Cross multiply
    34,041x = 51,061.14 × 13,279.08
  4. Step 4: Simplify right side
    34,041x = 678,044,962.95
  5. Step 5: Solve for x
    x = 678,044,962.95/34,041
  6. Step 6: Final answer
    x = 19,918.48

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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.