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Finding the Fourth Proportional to 31,229.11, 46,836.94 and 9,883.51

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Solution

The fourth proportional to 31,229.11, 46,836.94 and 9,883.51 is: 14,823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,229.11 : 46,836.94 = 9,883.51 : x
  2. Step 2: Convert to fraction form
    31,229.11/46,836.94 = 9,883.51/x
  3. Step 3: Cross multiply
    31,229.11x = 46,836.94 × 9,883.51
  4. Step 4: Simplify right side
    31,229.11x = 462,913,364.86
  5. Step 5: Solve for x
    x = 462,913,364.86/31,229.11
  6. Step 6: Final answer
    x = 14,823.14

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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.