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Finding the Fourth Proportional to 66,497.32, 91,683.30 and 42,584.68

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Solution

The fourth proportional to 66,497.32, 91,683.30 and 42,584.68 is: 58,713.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,497.32 : 91,683.30 = 42,584.68 : x
  2. Step 2: Convert to fraction form
    66,497.32/91,683.30 = 42,584.68/x
  3. Step 3: Cross multiply
    66,497.32x = 91,683.30 × 42,584.68
  4. Step 4: Simplify right side
    66,497.32x = 3,904,303,991.84
  5. Step 5: Solve for x
    x = 3,904,303,991.84/66,497.32
  6. Step 6: Final answer
    x = 58,713.70

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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.