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Finding the Fourth Proportional to 63,047.84, 87,005.76 and 34,754

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Solution

The fourth proportional to 63,047.84, 87,005.76 and 34,754 is: 47,960.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,047.84 : 87,005.76 = 34,754 : x
  2. Step 2: Convert to fraction form
    63,047.84/87,005.76 = 34,754/x
  3. Step 3: Cross multiply
    63,047.84x = 87,005.76 × 34,754
  4. Step 4: Simplify right side
    63,047.84x = 3,023,798,183.04
  5. Step 5: Solve for x
    x = 3,023,798,183.04/63,047.84
  6. Step 6: Final answer
    x = 47,960.38

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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.