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Finding the Fourth Proportional to 53,091.47, 73,266.57 and 29,217.53

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Solution

The fourth proportional to 53,091.47, 73,266.57 and 29,217.53 is: 40,320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,091.47 : 73,266.57 = 29,217.53 : x
  2. Step 2: Convert to fraction form
    53,091.47/73,266.57 = 29,217.53/x
  3. Step 3: Cross multiply
    53,091.47x = 73,266.57 × 29,217.53
  4. Step 4: Simplify right side
    53,091.47x = 2,140,667,840.64
  5. Step 5: Solve for x
    x = 2,140,667,840.64/53,091.47
  6. Step 6: Final answer
    x = 40,320.38

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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.