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Finding the Fourth Proportional to 31,216.21, 46,822.95 and 9,029.09

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Solution

The fourth proportional to 31,216.21, 46,822.95 and 9,029.09 is: 13,543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,216.21 : 46,822.95 = 9,029.09 : x
  2. Step 2: Convert to fraction form
    31,216.21/46,822.95 = 9,029.09/x
  3. Step 3: Cross multiply
    31,216.21x = 46,822.95 × 9,029.09
  4. Step 4: Simplify right side
    31,216.21x = 422,768,746.67
  5. Step 5: Solve for x
    x = 422,768,746.67/31,216.21
  6. Step 6: Final answer
    x = 13,543.25

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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.