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Finding the Fourth Proportional to 45,264, 62,464.32 and 27,600

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Solution

The fourth proportional to 45,264, 62,464.32 and 27,600 is: 38,088

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,264 : 62,464.32 = 27,600 : x
  2. Step 2: Convert to fraction form
    45,264/62,464.32 = 27,600/x
  3. Step 3: Cross multiply
    45,264x = 62,464.32 × 27,600
  4. Step 4: Simplify right side
    45,264x = 1,724,015,232
  5. Step 5: Solve for x
    x = 1,724,015,232/45,264
  6. Step 6: Final answer
    x = 38,088

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.