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Finding the Fourth Proportional to 27,010, 40,319.56 and 23,335.84

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Solution

The fourth proportional to 27,010, 40,319.56 and 23,335.84 is: 34,834.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,010 : 40,319.56 = 23,335.84 : x
  2. Step 2: Convert to fraction form
    27,010/40,319.56 = 23,335.84/x
  3. Step 3: Cross multiply
    27,010x = 40,319.56 × 23,335.84
  4. Step 4: Simplify right side
    27,010x = 940,890,801.03
  5. Step 5: Solve for x
    x = 940,890,801.03/27,010
  6. Step 6: Final answer
    x = 34,834.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.