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Finding the Fourth Proportional to 31,195.92, 42,941.88 and 27,210.09

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Solution

The fourth proportional to 31,195.92, 42,941.88 and 27,210.09 is: 37,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,195.92 : 42,941.88 = 27,210.09 : x
  2. Step 2: Convert to fraction form
    31,195.92/42,941.88 = 27,210.09/x
  3. Step 3: Cross multiply
    31,195.92x = 42,941.88 × 27,210.09
  4. Step 4: Simplify right side
    31,195.92x = 1,168,452,419.57
  5. Step 5: Solve for x
    x = 1,168,452,419.57/31,195.92
  6. Step 6: Final answer
    x = 37,455.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.