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Finding the Fourth Proportional to 91,087.50, 136,631.25 and 28,758

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Solution

The fourth proportional to 91,087.50, 136,631.25 and 28,758 is: 43,137

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,087.50 : 136,631.25 = 28,758 : x
  2. Step 2: Convert to fraction form
    91,087.50/136,631.25 = 28,758/x
  3. Step 3: Cross multiply
    91,087.50x = 136,631.25 × 28,758
  4. Step 4: Simplify right side
    91,087.50x = 3,929,241,487.50
  5. Step 5: Solve for x
    x = 3,929,241,487.50/91,087.50
  6. Step 6: Final answer
    x = 43,137

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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.