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Finding the Fourth Proportional to 35,857.52, 49,484.32 and 19,943

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Solution

The fourth proportional to 35,857.52, 49,484.32 and 19,943 is: 27,521.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,857.52 : 49,484.32 = 19,943 : x
  2. Step 2: Convert to fraction form
    35,857.52/49,484.32 = 19,943/x
  3. Step 3: Cross multiply
    35,857.52x = 49,484.32 × 19,943
  4. Step 4: Simplify right side
    35,857.52x = 986,865,793.76
  5. Step 5: Solve for x
    x = 986,865,793.76/35,857.52
  6. Step 6: Final answer
    x = 27,521.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.