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Finding the Fourth Proportional to 47,082.56, 70,623.84 and 15,917

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Solution

The fourth proportional to 47,082.56, 70,623.84 and 15,917 is: 23,875.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,082.56 : 70,623.84 = 15,917 : x
  2. Step 2: Convert to fraction form
    47,082.56/70,623.84 = 15,917/x
  3. Step 3: Cross multiply
    47,082.56x = 70,623.84 × 15,917
  4. Step 4: Simplify right side
    47,082.56x = 1,124,119,661.28
  5. Step 5: Solve for x
    x = 1,124,119,661.28/47,082.56
  6. Step 6: Final answer
    x = 23,875.50

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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.