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Finding the Fourth Proportional to 31,263, 46,906.02 and 16,471.32

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Solution

The fourth proportional to 31,263, 46,906.02 and 16,471.32 is: 24,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,263 : 46,906.02 = 16,471.32 : x
  2. Step 2: Convert to fraction form
    31,263/46,906.02 = 16,471.32/x
  3. Step 3: Cross multiply
    31,263x = 46,906.02 × 16,471.32
  4. Step 4: Simplify right side
    31,263x = 772,604,065.35
  5. Step 5: Solve for x
    x = 772,604,065.35/31,263
  6. Step 6: Final answer
    x = 24,713.05

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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.