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Finding the Fourth Proportional to 53,105.42, 73,282.68 and 29,227.53

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Solution

The fourth proportional to 53,105.42, 73,282.68 and 29,227.53 is: 40,332.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,105.42 : 73,282.68 = 29,227.53 : x
  2. Step 2: Convert to fraction form
    53,105.42/73,282.68 = 29,227.53/x
  3. Step 3: Cross multiply
    53,105.42x = 73,282.68 × 29,227.53
  4. Step 4: Simplify right side
    53,105.42x = 2,141,871,728.18
  5. Step 5: Solve for x
    x = 2,141,871,728.18/53,105.42
  6. Step 6: Final answer
    x = 40,332.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.