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Finding the Fourth Proportional to 66,403.14, 91,633.07 and 36,188.37

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Solution

The fourth proportional to 66,403.14, 91,633.07 and 36,188.37 is: 49,938.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,403.14 : 91,633.07 = 36,188.37 : x
  2. Step 2: Convert to fraction form
    66,403.14/91,633.07 = 36,188.37/x
  3. Step 3: Cross multiply
    66,403.14x = 91,633.07 × 36,188.37
  4. Step 4: Simplify right side
    66,403.14x = 3,316,051,441.40
  5. Step 5: Solve for x
    x = 3,316,051,441.40/66,403.14
  6. Step 6: Final answer
    x = 49,938.17

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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.