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Finding the Fourth Proportional to 38,364.69, 52,945.93 and 23,257.98

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Solution

The fourth proportional to 38,364.69, 52,945.93 and 23,257.98 is: 32,097.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,364.69 : 52,945.93 = 23,257.98 : x
  2. Step 2: Convert to fraction form
    38,364.69/52,945.93 = 23,257.98/x
  3. Step 3: Cross multiply
    38,364.69x = 52,945.93 × 23,257.98
  4. Step 4: Simplify right side
    38,364.69x = 1,231,415,381.02
  5. Step 5: Solve for x
    x = 1,231,415,381.02/38,364.69
  6. Step 6: Final answer
    x = 32,097.62

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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.