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Finding the Fourth Proportional to 31,113.84, 46,641.96 and 10,333.68

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Solution

The fourth proportional to 31,113.84, 46,641.96 and 10,333.68 is: 15,490.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,113.84 : 46,641.96 = 10,333.68 : x
  2. Step 2: Convert to fraction form
    31,113.84/46,641.96 = 10,333.68/x
  3. Step 3: Cross multiply
    31,113.84x = 46,641.96 × 10,333.68
  4. Step 4: Simplify right side
    31,113.84x = 481,983,089.21
  5. Step 5: Solve for x
    x = 481,983,089.21/31,113.84
  6. Step 6: Final answer
    x = 15,490.95

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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.