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Finding the Fourth Proportional to 33,802.50, 50,703.95 and 9,178.50

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Solution

The fourth proportional to 33,802.50, 50,703.95 and 9,178.50 is: 13,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,802.50 : 50,703.95 = 9,178.50 : x
  2. Step 2: Convert to fraction form
    33,802.50/50,703.95 = 9,178.50/x
  3. Step 3: Cross multiply
    33,802.50x = 50,703.95 × 9,178.50
  4. Step 4: Simplify right side
    33,802.50x = 465,386,205.08
  5. Step 5: Solve for x
    x = 465,386,205.08/33,802.50
  6. Step 6: Final answer
    x = 13,767.80

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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.