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Finding the Fourth Proportional to 66,416.84, 91,654.64 and 36,202.16

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Solution

The fourth proportional to 66,416.84, 91,654.64 and 36,202.16 is: 49,958.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,416.84 : 91,654.64 = 36,202.16 : x
  2. Step 2: Convert to fraction form
    66,416.84/91,654.64 = 36,202.16/x
  3. Step 3: Cross multiply
    66,416.84x = 91,654.64 × 36,202.16
  4. Step 4: Simplify right side
    66,416.84x = 3,318,095,302.74
  5. Step 5: Solve for x
    x = 3,318,095,302.74/66,416.84
  6. Step 6: Final answer
    x = 49,958.65

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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.