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Finding the Fourth Proportional to 31,215.93, 46,818.09 and 9,023.82

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Solution

The fourth proportional to 31,215.93, 46,818.09 and 9,023.82 is: 13,534.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,215.93 : 46,818.09 = 9,023.82 : x
  2. Step 2: Convert to fraction form
    31,215.93/46,818.09 = 9,023.82/x
  3. Step 3: Cross multiply
    31,215.93x = 46,818.09 × 9,023.82
  4. Step 4: Simplify right side
    31,215.93x = 422,478,016.90
  5. Step 5: Solve for x
    x = 422,478,016.90/31,215.93
  6. Step 6: Final answer
    x = 13,534.05

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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.