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Finding the Fourth Proportional to 31,232.84, 46,852.54 and 10,174.52

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Solution

The fourth proportional to 31,232.84, 46,852.54 and 10,174.52 is: 15,262.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,232.84 : 46,852.54 = 10,174.52 : x
  2. Step 2: Convert to fraction form
    31,232.84/46,852.54 = 10,174.52/x
  3. Step 3: Cross multiply
    31,232.84x = 46,852.54 × 10,174.52
  4. Step 4: Simplify right side
    31,232.84x = 476,702,105.28
  5. Step 5: Solve for x
    x = 476,702,105.28/31,232.84
  6. Step 6: Final answer
    x = 15,262.85

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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.