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Finding the Fourth Proportional to 34,846, 52,277.88 and 10,222

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Solution

The fourth proportional to 34,846, 52,277.88 and 10,222 is: 15,335.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,846 : 52,277.88 = 10,222 : x
  2. Step 2: Convert to fraction form
    34,846/52,277.88 = 10,222/x
  3. Step 3: Cross multiply
    34,846x = 52,277.88 × 10,222
  4. Step 4: Simplify right side
    34,846x = 534,384,489.36
  5. Step 5: Solve for x
    x = 534,384,489.36/34,846
  6. Step 6: Final answer
    x = 15,335.60

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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.