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Finding the Fourth Proportional to 38,702.81, 53,387.19 and 24,339.84

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Solution

The fourth proportional to 38,702.81, 53,387.19 and 24,339.84 is: 33,574.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,702.81 : 53,387.19 = 24,339.84 : x
  2. Step 2: Convert to fraction form
    38,702.81/53,387.19 = 24,339.84/x
  3. Step 3: Cross multiply
    38,702.81x = 53,387.19 × 24,339.84
  4. Step 4: Simplify right side
    38,702.81x = 1,299,435,662.65
  5. Step 5: Solve for x
    x = 1,299,435,662.65/38,702.81
  6. Step 6: Final answer
    x = 33,574.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.