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Finding the Fourth Proportional to 37,905.84, 52,287.48 and 27,816.48

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Solution

The fourth proportional to 37,905.84, 52,287.48 and 27,816.48 is: 38,370.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,905.84 : 52,287.48 = 27,816.48 : x
  2. Step 2: Convert to fraction form
    37,905.84/52,287.48 = 27,816.48/x
  3. Step 3: Cross multiply
    37,905.84x = 52,287.48 × 27,816.48
  4. Step 4: Simplify right side
    37,905.84x = 1,454,453,641.67
  5. Step 5: Solve for x
    x = 1,454,453,641.67/37,905.84
  6. Step 6: Final answer
    x = 38,370.17

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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.