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Finding the Fourth Proportional to 91,784.59, 137,651.83 and 25,208.90

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Solution

The fourth proportional to 91,784.59, 137,651.83 and 25,208.90 is: 37,806.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,784.59 : 137,651.83 = 25,208.90 : x
  2. Step 2: Convert to fraction form
    91,784.59/137,651.83 = 25,208.90/x
  3. Step 3: Cross multiply
    91,784.59x = 137,651.83 × 25,208.90
  4. Step 4: Simplify right side
    91,784.59x = 3,470,050,665.95
  5. Step 5: Solve for x
    x = 3,470,050,665.95/91,784.59
  6. Step 6: Final answer
    x = 37,806.46

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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.