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Finding the Fourth Proportional to 36,538.14, 50,424.08 and 21,428.70

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Solution

The fourth proportional to 36,538.14, 50,424.08 and 21,428.70 is: 29,572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,538.14 : 50,424.08 = 21,428.70 : x
  2. Step 2: Convert to fraction form
    36,538.14/50,424.08 = 21,428.70/x
  3. Step 3: Cross multiply
    36,538.14x = 50,424.08 × 21,428.70
  4. Step 4: Simplify right side
    36,538.14x = 1,080,522,483.10
  5. Step 5: Solve for x
    x = 1,080,522,483.10/36,538.14
  6. Step 6: Final answer
    x = 29,572.45

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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.