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Finding the Fourth Proportional to 35,660.34, 49,214.04 and 19,746.26

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Solution

The fourth proportional to 35,660.34, 49,214.04 and 19,746.26 is: 27,251.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,660.34 : 49,214.04 = 19,746.26 : x
  2. Step 2: Convert to fraction form
    35,660.34/49,214.04 = 19,746.26/x
  3. Step 3: Cross multiply
    35,660.34x = 49,214.04 × 19,746.26
  4. Step 4: Simplify right side
    35,660.34x = 971,793,229.49
  5. Step 5: Solve for x
    x = 971,793,229.49/35,660.34
  6. Step 6: Final answer
    x = 27,251.37

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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.