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Finding the Fourth Proportional to 27,405.01, 37,784.49 and 22,364.11

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Solution

The fourth proportional to 27,405.01, 37,784.49 and 22,364.11 is: 30,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,405.01 : 37,784.49 = 22,364.11 : x
  2. Step 2: Convert to fraction form
    27,405.01/37,784.49 = 22,364.11/x
  3. Step 3: Cross multiply
    27,405.01x = 37,784.49 × 22,364.11
  4. Step 4: Simplify right side
    27,405.01x = 845,016,490.65
  5. Step 5: Solve for x
    x = 845,016,490.65/27,405.01
  6. Step 6: Final answer
    x = 30,834.38

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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.