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Finding the Fourth Proportional to 31,106.64, 46,659.96 and 10,330.14

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Solution

The fourth proportional to 31,106.64, 46,659.96 and 10,330.14 is: 15,495.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,106.64 : 46,659.96 = 10,330.14 : x
  2. Step 2: Convert to fraction form
    31,106.64/46,659.96 = 10,330.14/x
  3. Step 3: Cross multiply
    31,106.64x = 46,659.96 × 10,330.14
  4. Step 4: Simplify right side
    31,106.64x = 482,003,919.19
  5. Step 5: Solve for x
    x = 482,003,919.19/31,106.64
  6. Step 6: Final answer
    x = 15,495.21

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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.