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Finding the Fourth Proportional to 53,530.65, 73,906.96 and 34,419

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Solution

The fourth proportional to 53,530.65, 73,906.96 and 34,419 is: 47,520.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,530.65 : 73,906.96 = 34,419 : x
  2. Step 2: Convert to fraction form
    53,530.65/73,906.96 = 34,419/x
  3. Step 3: Cross multiply
    53,530.65x = 73,906.96 × 34,419
  4. Step 4: Simplify right side
    53,530.65x = 2,543,803,656.24
  5. Step 5: Solve for x
    x = 2,543,803,656.24/53,530.65
  6. Step 6: Final answer
    x = 47,520.51

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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.