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Finding the Fourth Proportional to 38,108.51, 52,578.36 and 24,658.46

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Solution

The fourth proportional to 38,108.51, 52,578.36 and 24,658.46 is: 34,021.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,108.51 : 52,578.36 = 24,658.46 : x
  2. Step 2: Convert to fraction form
    38,108.51/52,578.36 = 24,658.46/x
  3. Step 3: Cross multiply
    38,108.51x = 52,578.36 × 24,658.46
  4. Step 4: Simplify right side
    38,108.51x = 1,296,501,386.93
  5. Step 5: Solve for x
    x = 1,296,501,386.93/38,108.51
  6. Step 6: Final answer
    x = 34,021.31

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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.