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Finding the Fourth Proportional to 91,089.50, 136,634.25 and 28,760

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Solution

The fourth proportional to 91,089.50, 136,634.25 and 28,760 is: 43,140

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,089.50 : 136,634.25 = 28,760 : x
  2. Step 2: Convert to fraction form
    91,089.50/136,634.25 = 28,760/x
  3. Step 3: Cross multiply
    91,089.50x = 136,634.25 × 28,760
  4. Step 4: Simplify right side
    91,089.50x = 3,929,601,030
  5. Step 5: Solve for x
    x = 3,929,601,030/91,089.50
  6. Step 6: Final answer
    x = 43,140

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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.