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Finding the Fourth Proportional to 66,406.14, 91,642.77 and 36,193.95

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Solution

The fourth proportional to 66,406.14, 91,642.77 and 36,193.95 is: 49,948.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,406.14 : 91,642.77 = 36,193.95 : x
  2. Step 2: Convert to fraction form
    66,406.14/91,642.77 = 36,193.95/x
  3. Step 3: Cross multiply
    66,406.14x = 91,642.77 × 36,193.95
  4. Step 4: Simplify right side
    66,406.14x = 3,316,913,835.24
  5. Step 5: Solve for x
    x = 3,316,913,835.24/66,406.14
  6. Step 6: Final answer
    x = 49,948.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.