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Finding the Fourth Proportional to 38,141.96, 52,623.68 and 23,039.10

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Solution

The fourth proportional to 38,141.96, 52,623.68 and 23,039.10 is: 31,786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,141.96 : 52,623.68 = 23,039.10 : x
  2. Step 2: Convert to fraction form
    38,141.96/52,623.68 = 23,039.10/x
  3. Step 3: Cross multiply
    38,141.96x = 52,623.68 × 23,039.10
  4. Step 4: Simplify right side
    38,141.96x = 1,212,402,110.69
  5. Step 5: Solve for x
    x = 1,212,402,110.69/38,141.96
  6. Step 6: Final answer
    x = 31,786.57

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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.