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Finding the Fourth Proportional to 31,335.66, 46,998.45 and 9,143.84

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Solution

The fourth proportional to 31,335.66, 46,998.45 and 9,143.84 is: 13,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,335.66 : 46,998.45 = 9,143.84 : x
  2. Step 2: Convert to fraction form
    31,335.66/46,998.45 = 9,143.84/x
  3. Step 3: Cross multiply
    31,335.66x = 46,998.45 × 9,143.84
  4. Step 4: Simplify right side
    31,335.66x = 429,746,212.41
  5. Step 5: Solve for x
    x = 429,746,212.41/31,335.66
  6. Step 6: Final answer
    x = 13,714.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.