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Finding the Fourth Proportional to 31,319.84, 46,987.74 and 10,261.31

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Solution

The fourth proportional to 31,319.84, 46,987.74 and 10,261.31 is: 15,394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,319.84 : 46,987.74 = 10,261.31 : x
  2. Step 2: Convert to fraction form
    31,319.84/46,987.74 = 10,261.31/x
  3. Step 3: Cross multiply
    31,319.84x = 46,987.74 × 10,261.31
  4. Step 4: Simplify right side
    31,319.84x = 482,155,766.85
  5. Step 5: Solve for x
    x = 482,155,766.85/31,319.84
  6. Step 6: Final answer
    x = 15,394.58

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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.