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Finding the Fourth Proportional to 38,462.04, 53,042.04 and 29,509.92

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Solution

The fourth proportional to 38,462.04, 53,042.04 and 29,509.92 is: 40,696.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,462.04 : 53,042.04 = 29,509.92 : x
  2. Step 2: Convert to fraction form
    38,462.04/53,042.04 = 29,509.92/x
  3. Step 3: Cross multiply
    38,462.04x = 53,042.04 × 29,509.92
  4. Step 4: Simplify right side
    38,462.04x = 1,565,266,357.04
  5. Step 5: Solve for x
    x = 1,565,266,357.04/38,462.04
  6. Step 6: Final answer
    x = 40,696.39

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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.