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Finding the Fourth Proportional to 38,716.41, 53,422.16 and 22,804.02

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Solution

The fourth proportional to 38,716.41, 53,422.16 and 22,804.02 is: 31,465.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,716.41 : 53,422.16 = 22,804.02 : x
  2. Step 2: Convert to fraction form
    38,716.41/53,422.16 = 22,804.02/x
  3. Step 3: Cross multiply
    38,716.41x = 53,422.16 × 22,804.02
  4. Step 4: Simplify right side
    38,716.41x = 1,218,240,195.65
  5. Step 5: Solve for x
    x = 1,218,240,195.65/38,716.41
  6. Step 6: Final answer
    x = 31,465.74

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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.