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Finding the Fourth Proportional to 64,470.82, 96,706.08 and 36,378.12

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Solution

The fourth proportional to 64,470.82, 96,706.08 and 36,378.12 is: 54,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,470.82 : 96,706.08 = 36,378.12 : x
  2. Step 2: Convert to fraction form
    64,470.82/96,706.08 = 36,378.12/x
  3. Step 3: Cross multiply
    64,470.82x = 96,706.08 × 36,378.12
  4. Step 4: Simplify right side
    64,470.82x = 3,517,985,382.97
  5. Step 5: Solve for x
    x = 3,517,985,382.97/64,470.82
  6. Step 6: Final answer
    x = 54,567.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.