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Finding the Fourth Proportional to 91,443.84, 137,155.68 and 32,268.48

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Solution

The fourth proportional to 91,443.84, 137,155.68 and 32,268.48 is: 48,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,443.84 : 137,155.68 = 32,268.48 : x
  2. Step 2: Convert to fraction form
    91,443.84/137,155.68 = 32,268.48/x
  3. Step 3: Cross multiply
    91,443.84x = 137,155.68 × 32,268.48
  4. Step 4: Simplify right side
    91,443.84x = 4,425,805,316.97
  5. Step 5: Solve for x
    x = 4,425,805,316.97/91,443.84
  6. Step 6: Final answer
    x = 48,399.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.