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Finding the Fourth Proportional to 31,262.02, 46,893.10 and 7,888.46

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Solution

The fourth proportional to 31,262.02, 46,893.10 and 7,888.46 is: 11,832.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,262.02 : 46,893.10 = 7,888.46 : x
  2. Step 2: Convert to fraction form
    31,262.02/46,893.10 = 7,888.46/x
  3. Step 3: Cross multiply
    31,262.02x = 46,893.10 × 7,888.46
  4. Step 4: Simplify right side
    31,262.02x = 369,914,343.63
  5. Step 5: Solve for x
    x = 369,914,343.63/31,262.02
  6. Step 6: Final answer
    x = 11,832.71

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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.