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Finding the Fourth Proportional to 38,358, 57,534.71 and 18,381.78

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Solution

The fourth proportional to 38,358, 57,534.71 and 18,381.78 is: 27,571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,358 : 57,534.71 = 18,381.78 : x
  2. Step 2: Convert to fraction form
    38,358/57,534.71 = 18,381.78/x
  3. Step 3: Cross multiply
    38,358x = 57,534.71 × 18,381.78
  4. Step 4: Simplify right side
    38,358x = 1,057,590,289.67
  5. Step 5: Solve for x
    x = 1,057,590,289.67/38,358
  6. Step 6: Final answer
    x = 27,571.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.