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Finding the Fourth Proportional to 53,013.68, 73,158.05 and 29,139.84

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Solution

The fourth proportional to 53,013.68, 73,158.05 and 29,139.84 is: 40,212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,013.68 : 73,158.05 = 29,139.84 : x
  2. Step 2: Convert to fraction form
    53,013.68/73,158.05 = 29,139.84/x
  3. Step 3: Cross multiply
    53,013.68x = 73,158.05 × 29,139.84
  4. Step 4: Simplify right side
    53,013.68x = 2,131,813,903.15
  5. Step 5: Solve for x
    x = 2,131,813,903.15/53,013.68
  6. Step 6: Final answer
    x = 40,212.53

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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.