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Finding the Fourth Proportional to 36,972.34, 51,035.73 and 25,097.14

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Solution

The fourth proportional to 36,972.34, 51,035.73 and 25,097.14 is: 34,643.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,972.34 : 51,035.73 = 25,097.14 : x
  2. Step 2: Convert to fraction form
    36,972.34/51,035.73 = 25,097.14/x
  3. Step 3: Cross multiply
    36,972.34x = 51,035.73 × 25,097.14
  4. Step 4: Simplify right side
    36,972.34x = 1,280,850,860.81
  5. Step 5: Solve for x
    x = 1,280,850,860.81/36,972.34
  6. Step 6: Final answer
    x = 34,643.49

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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.