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Finding the Fourth Proportional to 38,573.29, 53,239.71 and 23,462.74

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Solution

The fourth proportional to 38,573.29, 53,239.71 and 23,462.74 is: 32,383.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,573.29 : 53,239.71 = 23,462.74 : x
  2. Step 2: Convert to fraction form
    38,573.29/53,239.71 = 23,462.74/x
  3. Step 3: Cross multiply
    38,573.29x = 53,239.71 × 23,462.74
  4. Step 4: Simplify right side
    38,573.29x = 1,249,149,473.41
  5. Step 5: Solve for x
    x = 1,249,149,473.41/38,573.29
  6. Step 6: Final answer
    x = 32,383.79

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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.