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Finding the Fourth Proportional to 31,294.72, 46,942.02 and 17,254.12

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Solution

The fourth proportional to 31,294.72, 46,942.02 and 17,254.12 is: 25,881.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,294.72 : 46,942.02 = 17,254.12 : x
  2. Step 2: Convert to fraction form
    31,294.72/46,942.02 = 17,254.12/x
  3. Step 3: Cross multiply
    31,294.72x = 46,942.02 × 17,254.12
  4. Step 4: Simplify right side
    31,294.72x = 809,943,246.12
  5. Step 5: Solve for x
    x = 809,943,246.12/31,294.72
  6. Step 6: Final answer
    x = 25,881.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.