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Finding the Fourth Proportional to 38,510.58, 53,122.42 and 23,186.47

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Solution

The fourth proportional to 38,510.58, 53,122.42 and 23,186.47 is: 31,983.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,510.58 : 53,122.42 = 23,186.47 : x
  2. Step 2: Convert to fraction form
    38,510.58/53,122.42 = 23,186.47/x
  3. Step 3: Cross multiply
    38,510.58x = 53,122.42 × 23,186.47
  4. Step 4: Simplify right side
    38,510.58x = 1,231,721,397.66
  5. Step 5: Solve for x
    x = 1,231,721,397.66/38,510.58
  6. Step 6: Final answer
    x = 31,983.97

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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.