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Finding the Fourth Proportional to 31,209.72, 46,807.65 and 9,018.24

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Solution

The fourth proportional to 31,209.72, 46,807.65 and 9,018.24 is: 13,525.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,209.72 : 46,807.65 = 9,018.24 : x
  2. Step 2: Convert to fraction form
    31,209.72/46,807.65 = 9,018.24/x
  3. Step 3: Cross multiply
    31,209.72x = 46,807.65 × 9,018.24
  4. Step 4: Simplify right side
    31,209.72x = 422,122,621.54
  5. Step 5: Solve for x
    x = 422,122,621.54/31,209.72
  6. Step 6: Final answer
    x = 13,525.36

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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.