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Finding the Fourth Proportional to 38,472.78, 53,095.10 and 21,480.36

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Solution

The fourth proportional to 38,472.78, 53,095.10 and 21,480.36 is: 29,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,472.78 : 53,095.10 = 21,480.36 : x
  2. Step 2: Convert to fraction form
    38,472.78/53,095.10 = 21,480.36/x
  3. Step 3: Cross multiply
    38,472.78x = 53,095.10 × 21,480.36
  4. Step 4: Simplify right side
    38,472.78x = 1,140,501,754.83
  5. Step 5: Solve for x
    x = 1,140,501,754.83/38,472.78
  6. Step 6: Final answer
    x = 29,644.38

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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.