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Finding the Fourth Proportional to 66,543.50, 99,727.76 and 32,828.06

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Solution

The fourth proportional to 66,543.50, 99,727.76 and 32,828.06 is: 49,198.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,543.50 : 99,727.76 = 32,828.06 : x
  2. Step 2: Convert to fraction form
    66,543.50/99,727.76 = 32,828.06/x
  3. Step 3: Cross multiply
    66,543.50x = 99,727.76 × 32,828.06
  4. Step 4: Simplify right side
    66,543.50x = 3,273,868,888.95
  5. Step 5: Solve for x
    x = 3,273,868,888.95/66,543.50
  6. Step 6: Final answer
    x = 49,198.93

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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.