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Finding the Fourth Proportional to 34,689.06, 51,988.23 and 13,927.14

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Solution

The fourth proportional to 34,689.06, 51,988.23 and 13,927.14 is: 20,872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,689.06 : 51,988.23 = 13,927.14 : x
  2. Step 2: Convert to fraction form
    34,689.06/51,988.23 = 13,927.14/x
  3. Step 3: Cross multiply
    34,689.06x = 51,988.23 × 13,927.14
  4. Step 4: Simplify right side
    34,689.06x = 724,047,357.56
  5. Step 5: Solve for x
    x = 724,047,357.56/34,689.06
  6. Step 6: Final answer
    x = 20,872.50

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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.