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Finding the Fourth Proportional to 42,926.14, 64,405.41 and 17,983

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Solution

The fourth proportional to 42,926.14, 64,405.41 and 17,983 is: 26,981.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,926.14 : 64,405.41 = 17,983 : x
  2. Step 2: Convert to fraction form
    42,926.14/64,405.41 = 17,983/x
  3. Step 3: Cross multiply
    42,926.14x = 64,405.41 × 17,983
  4. Step 4: Simplify right side
    42,926.14x = 1,158,202,488.03
  5. Step 5: Solve for x
    x = 1,158,202,488.03/42,926.14
  6. Step 6: Final answer
    x = 26,981.29

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