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Finding the Fourth Proportional to 47,481.84, 65,541.51 and 27,346.86

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Solution

The fourth proportional to 47,481.84, 65,541.51 and 27,346.86 is: 37,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,481.84 : 65,541.51 = 27,346.86 : x
  2. Step 2: Convert to fraction form
    47,481.84/65,541.51 = 27,346.86/x
  3. Step 3: Cross multiply
    47,481.84x = 65,541.51 × 27,346.86
  4. Step 4: Simplify right side
    47,481.84x = 1,792,354,498.16
  5. Step 5: Solve for x
    x = 1,792,354,498.16/47,481.84
  6. Step 6: Final answer
    x = 37,748.21

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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.