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Finding the Fourth Proportional to 53,065.34, 73,228.37 and 29,191.80

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Solution

The fourth proportional to 53,065.34, 73,228.37 and 29,191.80 is: 40,283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,065.34 : 73,228.37 = 29,191.80 : x
  2. Step 2: Convert to fraction form
    53,065.34/73,228.37 = 29,191.80/x
  3. Step 3: Cross multiply
    53,065.34x = 73,228.37 × 29,191.80
  4. Step 4: Simplify right side
    53,065.34x = 2,137,667,785.41
  5. Step 5: Solve for x
    x = 2,137,667,785.41/53,065.34
  6. Step 6: Final answer
    x = 40,283.70

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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.