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Finding the Fourth Proportional to 35,697.26, 49,261.47 and 19,781.57

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Solution

The fourth proportional to 35,697.26, 49,261.47 and 19,781.57 is: 27,298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,697.26 : 49,261.47 = 19,781.57 : x
  2. Step 2: Convert to fraction form
    35,697.26/49,261.47 = 19,781.57/x
  3. Step 3: Cross multiply
    35,697.26x = 49,261.47 × 19,781.57
  4. Step 4: Simplify right side
    35,697.26x = 974,468,970.80
  5. Step 5: Solve for x
    x = 974,468,970.80/35,697.26
  6. Step 6: Final answer
    x = 27,298.15

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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.