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Finding the Fourth Proportional to 34,706, 52,060.44 and 10,082

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Solution

The fourth proportional to 34,706, 52,060.44 and 10,082 is: 15,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,706 : 52,060.44 = 10,082 : x
  2. Step 2: Convert to fraction form
    34,706/52,060.44 = 10,082/x
  3. Step 3: Cross multiply
    34,706x = 52,060.44 × 10,082
  4. Step 4: Simplify right side
    34,706x = 524,873,356.08
  5. Step 5: Solve for x
    x = 524,873,356.08/34,706
  6. Step 6: Final answer
    x = 15,123.42

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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.