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Finding the Fourth Proportional to 36,866.53, 55,300.01 and 9,164.53

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Solution

The fourth proportional to 36,866.53, 55,300.01 and 9,164.53 is: 13,746.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,866.53 : 55,300.01 = 9,164.53 : x
  2. Step 2: Convert to fraction form
    36,866.53/55,300.01 = 9,164.53/x
  3. Step 3: Cross multiply
    36,866.53x = 55,300.01 × 9,164.53
  4. Step 4: Simplify right side
    36,866.53x = 506,798,623.95
  5. Step 5: Solve for x
    x = 506,798,623.95/36,866.53
  6. Step 6: Final answer
    x = 13,746.85

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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.