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Finding the Fourth Proportional to 66,083.12, 99,296.64 and 61,763.84

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Solution

The fourth proportional to 66,083.12, 99,296.64 and 61,763.84 is: 92,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,083.12 : 99,296.64 = 61,763.84 : x
  2. Step 2: Convert to fraction form
    66,083.12/99,296.64 = 61,763.84/x
  3. Step 3: Cross multiply
    66,083.12x = 99,296.64 × 61,763.84
  4. Step 4: Simplify right side
    66,083.12x = 6,132,941,785.50
  5. Step 5: Solve for x
    x = 6,132,941,785.50/66,083.12
  6. Step 6: Final answer
    x = 92,806.48

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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.