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Finding the Fourth Proportional to 31,141.53, 46,684.52 and 11,415.48

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Solution

The fourth proportional to 31,141.53, 46,684.52 and 11,415.48 is: 17,113.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,141.53 : 46,684.52 = 11,415.48 : x
  2. Step 2: Convert to fraction form
    31,141.53/46,684.52 = 11,415.48/x
  3. Step 3: Cross multiply
    31,141.53x = 46,684.52 × 11,415.48
  4. Step 4: Simplify right side
    31,141.53x = 532,926,277.63
  5. Step 5: Solve for x
    x = 532,926,277.63/31,141.53
  6. Step 6: Final answer
    x = 17,113.04

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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.