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Finding the Fourth Proportional to 31,119.90, 46,679.76 and 7,746.34

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Solution

The fourth proportional to 31,119.90, 46,679.76 and 7,746.34 is: 11,619.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,119.90 : 46,679.76 = 7,746.34 : x
  2. Step 2: Convert to fraction form
    31,119.90/46,679.76 = 7,746.34/x
  3. Step 3: Cross multiply
    31,119.90x = 46,679.76 × 7,746.34
  4. Step 4: Simplify right side
    31,119.90x = 361,597,292.08
  5. Step 5: Solve for x
    x = 361,597,292.08/31,119.90
  6. Step 6: Final answer
    x = 11,619.49

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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.