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Finding the Fourth Proportional to 35,733.43, 49,315.16 and 19,823

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Solution

The fourth proportional to 35,733.43, 49,315.16 and 19,823 is: 27,357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,733.43 : 49,315.16 = 19,823 : x
  2. Step 2: Convert to fraction form
    35,733.43/49,315.16 = 19,823/x
  3. Step 3: Cross multiply
    35,733.43x = 49,315.16 × 19,823
  4. Step 4: Simplify right side
    35,733.43x = 977,574,416.68
  5. Step 5: Solve for x
    x = 977,574,416.68/35,733.43
  6. Step 6: Final answer
    x = 27,357.42

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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.