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Finding the Fourth Proportional to 71,229.64, 106,842.06 and 33,807.64

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Solution

The fourth proportional to 71,229.64, 106,842.06 and 33,807.64 is: 50,710.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,229.64 : 106,842.06 = 33,807.64 : x
  2. Step 2: Convert to fraction form
    71,229.64/106,842.06 = 33,807.64/x
  3. Step 3: Cross multiply
    71,229.64x = 106,842.06 × 33,807.64
  4. Step 4: Simplify right side
    71,229.64x = 3,612,077,901.34
  5. Step 5: Solve for x
    x = 3,612,077,901.34/71,229.64
  6. Step 6: Final answer
    x = 50,710.32

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1.5x scale

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.