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Finding the Fourth Proportional to 47,084.70, 70,566.95 and 22,069.64

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Solution

The fourth proportional to 47,084.70, 70,566.95 and 22,069.64 is: 33,076.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,084.70 : 70,566.95 = 22,069.64 : x
  2. Step 2: Convert to fraction form
    47,084.70/70,566.95 = 22,069.64/x
  3. Step 3: Cross multiply
    47,084.70x = 70,566.95 × 22,069.64
  4. Step 4: Simplify right side
    47,084.70x = 1,557,386,719.22
  5. Step 5: Solve for x
    x = 1,557,386,719.22/47,084.70
  6. Step 6: Final answer
    x = 33,076.28

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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.