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Finding the Fourth Proportional to 49,324, 68,068.80 and 26,969.44

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Solution

The fourth proportional to 49,324, 68,068.80 and 26,969.44 is: 37,218.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,324 : 68,068.80 = 26,969.44 : x
  2. Step 2: Convert to fraction form
    49,324/68,068.80 = 26,969.44/x
  3. Step 3: Cross multiply
    49,324x = 68,068.80 × 26,969.44
  4. Step 4: Simplify right side
    49,324x = 1,835,777,417.47
  5. Step 5: Solve for x
    x = 1,835,777,417.47/49,324
  6. Step 6: Final answer
    x = 37,218.75

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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.