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Finding the Fourth Proportional to 38,642.40, 53,318.52 and 22,715.64

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Solution

The fourth proportional to 38,642.40, 53,318.52 and 22,715.64 is: 31,342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,642.40 : 53,318.52 = 22,715.64 : x
  2. Step 2: Convert to fraction form
    38,642.40/53,318.52 = 22,715.64/x
  3. Step 3: Cross multiply
    38,642.40x = 53,318.52 × 22,715.64
  4. Step 4: Simplify right side
    38,642.40x = 1,211,164,305.65
  5. Step 5: Solve for x
    x = 1,211,164,305.65/38,642.40
  6. Step 6: Final answer
    x = 31,342.89

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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.