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Finding the Fourth Proportional to 66,409.59, 91,642.53 and 36,194.29

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Solution

The fourth proportional to 66,409.59, 91,642.53 and 36,194.29 is: 49,946.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,409.59 : 91,642.53 = 36,194.29 : x
  2. Step 2: Convert to fraction form
    66,409.59/91,642.53 = 36,194.29/x
  3. Step 3: Cross multiply
    66,409.59x = 91,642.53 × 36,194.29
  4. Step 4: Simplify right side
    66,409.59x = 3,316,936,307.15
  5. Step 5: Solve for x
    x = 3,316,936,307.15/66,409.59
  6. Step 6: Final answer
    x = 49,946.65

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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.