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Finding the Fourth Proportional to 38,126.82, 52,602.39 and 23,013.72

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Solution

The fourth proportional to 38,126.82, 52,602.39 and 23,013.72 is: 31,751.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,126.82 : 52,602.39 = 23,013.72 : x
  2. Step 2: Convert to fraction form
    38,126.82/52,602.39 = 23,013.72/x
  3. Step 3: Cross multiply
    38,126.82x = 52,602.39 × 23,013.72
  4. Step 4: Simplify right side
    38,126.82x = 1,210,576,674.79
  5. Step 5: Solve for x
    x = 1,210,576,674.79/38,126.82
  6. Step 6: Final answer
    x = 31,751.32

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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.