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Finding the Fourth Proportional to 36,963.84, 51,024 and 25,088.64

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Solution

The fourth proportional to 36,963.84, 51,024 and 25,088.64 is: 34,631.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,963.84 : 51,024 = 25,088.64 : x
  2. Step 2: Convert to fraction form
    36,963.84/51,024 = 25,088.64/x
  3. Step 3: Cross multiply
    36,963.84x = 51,024 × 25,088.64
  4. Step 4: Simplify right side
    36,963.84x = 1,280,122,767.36
  5. Step 5: Solve for x
    x = 1,280,122,767.36/36,963.84
  6. Step 6: Final answer
    x = 34,631.76

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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.