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Finding the Fourth Proportional to 31,333, 46,994.46 and 9,141.16

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Solution

The fourth proportional to 31,333, 46,994.46 and 9,141.16 is: 13,710.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,333 : 46,994.46 = 9,141.16 : x
  2. Step 2: Convert to fraction form
    31,333/46,994.46 = 9,141.16/x
  3. Step 3: Cross multiply
    31,333x = 46,994.46 × 9,141.16
  4. Step 4: Simplify right side
    31,333x = 429,583,877.97
  5. Step 5: Solve for x
    x = 429,583,877.97/31,333
  6. Step 6: Final answer
    x = 13,710.27

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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.