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Finding the Fourth Proportional to 31,106.40, 46,659.60 and 11,378.40

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Solution

The fourth proportional to 31,106.40, 46,659.60 and 11,378.40 is: 17,067.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,106.40 : 46,659.60 = 11,378.40 : x
  2. Step 2: Convert to fraction form
    31,106.40/46,659.60 = 11,378.40/x
  3. Step 3: Cross multiply
    31,106.40x = 46,659.60 × 11,378.40
  4. Step 4: Simplify right side
    31,106.40x = 530,911,592.64
  5. Step 5: Solve for x
    x = 530,911,592.64/31,106.40
  6. Step 6: Final answer
    x = 17,067.60

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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.