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Finding the Fourth Proportional to 34,876.80, 52,307.88 and 11,497.76

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Solution

The fourth proportional to 34,876.80, 52,307.88 and 11,497.76 is: 17,244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,876.80 : 52,307.88 = 11,497.76 : x
  2. Step 2: Convert to fraction form
    34,876.80/52,307.88 = 11,497.76/x
  3. Step 3: Cross multiply
    34,876.80x = 52,307.88 × 11,497.76
  4. Step 4: Simplify right side
    34,876.80x = 601,423,450.35
  5. Step 5: Solve for x
    x = 601,423,450.35/34,876.80
  6. Step 6: Final answer
    x = 17,244.23

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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.