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Finding the Fourth Proportional to 38,126.32, 52,601.71 and 23,013.24

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Solution

The fourth proportional to 38,126.32, 52,601.71 and 23,013.24 is: 31,750.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,126.32 : 52,601.71 = 23,013.24 : x
  2. Step 2: Convert to fraction form
    38,126.32/52,601.71 = 23,013.24/x
  3. Step 3: Cross multiply
    38,126.32x = 52,601.71 × 23,013.24
  4. Step 4: Simplify right side
    38,126.32x = 1,210,535,776.64
  5. Step 5: Solve for x
    x = 1,210,535,776.64/38,126.32
  6. Step 6: Final answer
    x = 31,750.66

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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.