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Finding the Fourth Proportional to 31,298.68, 46,940.64 and 9,106.12

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Solution

The fourth proportional to 31,298.68, 46,940.64 and 9,106.12 is: 13,657.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,298.68 : 46,940.64 = 9,106.12 : x
  2. Step 2: Convert to fraction form
    31,298.68/46,940.64 = 9,106.12/x
  3. Step 3: Cross multiply
    31,298.68x = 46,940.64 × 9,106.12
  4. Step 4: Simplify right side
    31,298.68x = 427,447,100.72
  5. Step 5: Solve for x
    x = 427,447,100.72/31,298.68
  6. Step 6: Final answer
    x = 13,657.03

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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.