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Finding the Fourth Proportional to 38,794.71, 53,538.99 and 29,217.71

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Solution

The fourth proportional to 38,794.71, 53,538.99 and 29,217.71 is: 40,322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,794.71 : 53,538.99 = 29,217.71 : x
  2. Step 2: Convert to fraction form
    38,794.71/53,538.99 = 29,217.71/x
  3. Step 3: Cross multiply
    38,794.71x = 53,538.99 × 29,217.71
  4. Step 4: Simplify right side
    38,794.71x = 1,564,286,415.82
  5. Step 5: Solve for x
    x = 1,564,286,415.82/38,794.71
  6. Step 6: Final answer
    x = 40,322.16

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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.