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Finding the Fourth Proportional to 71,905.32, 107,864.46 and 19,313.64

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Solution

The fourth proportional to 71,905.32, 107,864.46 and 19,313.64 is: 28,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,905.32 : 107,864.46 = 19,313.64 : x
  2. Step 2: Convert to fraction form
    71,905.32/107,864.46 = 19,313.64/x
  3. Step 3: Cross multiply
    71,905.32x = 107,864.46 × 19,313.64
  4. Step 4: Simplify right side
    71,905.32x = 2,083,255,349.23
  5. Step 5: Solve for x
    x = 2,083,255,349.23/71,905.32
  6. Step 6: Final answer
    x = 28,972.20

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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.