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Finding the Fourth Proportional to 66,098.16, 91,202.64 and 37,797.84

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Solution

The fourth proportional to 66,098.16, 91,202.64 and 37,797.84 is: 52,153.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,098.16 : 91,202.64 = 37,797.84 : x
  2. Step 2: Convert to fraction form
    66,098.16/91,202.64 = 37,797.84/x
  3. Step 3: Cross multiply
    66,098.16x = 91,202.64 × 37,797.84
  4. Step 4: Simplify right side
    66,098.16x = 3,447,262,794.30
  5. Step 5: Solve for x
    x = 3,447,262,794.30/66,098.16
  6. Step 6: Final answer
    x = 52,153.69

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1.5x scale

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.