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Finding the Fourth Proportional to 47,230.16, 70,837.04 and 17,648.24

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Solution

The fourth proportional to 47,230.16, 70,837.04 and 17,648.24 is: 26,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,230.16 : 70,837.04 = 17,648.24 : x
  2. Step 2: Convert to fraction form
    47,230.16/70,837.04 = 17,648.24/x
  3. Step 3: Cross multiply
    47,230.16x = 70,837.04 × 17,648.24
  4. Step 4: Simplify right side
    47,230.16x = 1,250,149,082.81
  5. Step 5: Solve for x
    x = 1,250,149,082.81/47,230.16
  6. Step 6: Final answer
    x = 26,469.30

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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.