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Finding the Fourth Proportional to 31,043.51, 46,557.05 and 8,858.15

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Solution

The fourth proportional to 31,043.51, 46,557.05 and 8,858.15 is: 13,284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,043.51 : 46,557.05 = 8,858.15 : x
  2. Step 2: Convert to fraction form
    31,043.51/46,557.05 = 8,858.15/x
  3. Step 3: Cross multiply
    31,043.51x = 46,557.05 × 8,858.15
  4. Step 4: Simplify right side
    31,043.51x = 412,409,099.67
  5. Step 5: Solve for x
    x = 412,409,099.67/31,043.51
  6. Step 6: Final answer
    x = 13,284.88

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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.