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Finding the Fourth Proportional to 91,088.50, 136,632.75 and 28,759

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Solution

The fourth proportional to 91,088.50, 136,632.75 and 28,759 is: 43,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,088.50 : 136,632.75 = 28,759 : x
  2. Step 2: Convert to fraction form
    91,088.50/136,632.75 = 28,759/x
  3. Step 3: Cross multiply
    91,088.50x = 136,632.75 × 28,759
  4. Step 4: Simplify right side
    91,088.50x = 3,929,421,257.25
  5. Step 5: Solve for x
    x = 3,929,421,257.25/91,088.50
  6. Step 6: Final answer
    x = 43,138.50

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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.