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Finding the Fourth Proportional to 34,696.62, 47,878.11 and 21,265.20

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Solution

The fourth proportional to 34,696.62, 47,878.11 and 21,265.20 is: 29,344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,696.62 : 47,878.11 = 21,265.20 : x
  2. Step 2: Convert to fraction form
    34,696.62/47,878.11 = 21,265.20/x
  3. Step 3: Cross multiply
    34,696.62x = 47,878.11 × 21,265.20
  4. Step 4: Simplify right side
    34,696.62x = 1,018,137,584.77
  5. Step 5: Solve for x
    x = 1,018,137,584.77/34,696.62
  6. Step 6: Final answer
    x = 29,344.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.