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Finding the Fourth Proportional to 34,857.56, 52,294.55 and 11,484

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Solution

The fourth proportional to 34,857.56, 52,294.55 and 11,484 is: 17,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,857.56 : 52,294.55 = 11,484 : x
  2. Step 2: Convert to fraction form
    34,857.56/52,294.55 = 11,484/x
  3. Step 3: Cross multiply
    34,857.56x = 52,294.55 × 11,484
  4. Step 4: Simplify right side
    34,857.56x = 600,550,554.78
  5. Step 5: Solve for x
    x = 600,550,554.78/34,857.56
  6. Step 6: Final answer
    x = 17,228.70

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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.