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Finding the Fourth Proportional to 91,340.12, 137,087.94 and 35,975

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Solution

The fourth proportional to 91,340.12, 137,087.94 and 35,975 is: 53,993.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,340.12 : 137,087.94 = 35,975 : x
  2. Step 2: Convert to fraction form
    91,340.12/137,087.94 = 35,975/x
  3. Step 3: Cross multiply
    91,340.12x = 137,087.94 × 35,975
  4. Step 4: Simplify right side
    91,340.12x = 4,931,738,641.50
  5. Step 5: Solve for x
    x = 4,931,738,641.50/91,340.12
  6. Step 6: Final answer
    x = 53,993.13

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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.