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Finding the Fourth Proportional to 91,407.94, 137,112.35 and 23,939.84

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Solution

The fourth proportional to 91,407.94, 137,112.35 and 23,939.84 is: 35,909.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,407.94 : 137,112.35 = 23,939.84 : x
  2. Step 2: Convert to fraction form
    91,407.94/137,112.35 = 23,939.84/x
  3. Step 3: Cross multiply
    91,407.94x = 137,112.35 × 23,939.84
  4. Step 4: Simplify right side
    91,407.94x = 3,282,447,172.85
  5. Step 5: Solve for x
    x = 3,282,447,172.85/91,407.94
  6. Step 6: Final answer
    x = 35,909.87

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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.