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Finding the Fourth Proportional to 31,022.34, 46,529.12 and 9,964.20

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Solution

The fourth proportional to 31,022.34, 46,529.12 and 9,964.20 is: 14,944.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,022.34 : 46,529.12 = 9,964.20 : x
  2. Step 2: Convert to fraction form
    31,022.34/46,529.12 = 9,964.20/x
  3. Step 3: Cross multiply
    31,022.34x = 46,529.12 × 9,964.20
  4. Step 4: Simplify right side
    31,022.34x = 463,625,407.68
  5. Step 5: Solve for x
    x = 463,625,407.68/31,022.34
  6. Step 6: Final answer
    x = 14,944.89

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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.