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Finding the Fourth Proportional to 34,696.40, 47,850.76 and 27,980.08

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Solution

The fourth proportional to 34,696.40, 47,850.76 and 27,980.08 is: 38,588.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,696.40 : 47,850.76 = 27,980.08 : x
  2. Step 2: Convert to fraction form
    34,696.40/47,850.76 = 27,980.08/x
  3. Step 3: Cross multiply
    34,696.40x = 47,850.76 × 27,980.08
  4. Step 4: Simplify right side
    34,696.40x = 1,338,868,092.86
  5. Step 5: Solve for x
    x = 1,338,868,092.86/34,696.40
  6. Step 6: Final answer
    x = 38,588.10

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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.