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Finding the Fourth Proportional to 36,868.50, 55,302.95 and 9,166.50

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Solution

The fourth proportional to 36,868.50, 55,302.95 and 9,166.50 is: 13,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,868.50 : 55,302.95 = 9,166.50 : x
  2. Step 2: Convert to fraction form
    36,868.50/55,302.95 = 9,166.50/x
  3. Step 3: Cross multiply
    36,868.50x = 55,302.95 × 9,166.50
  4. Step 4: Simplify right side
    36,868.50x = 506,934,491.18
  5. Step 5: Solve for x
    x = 506,934,491.18/36,868.50
  6. Step 6: Final answer
    x = 13,749.80

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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.