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Finding the Fourth Proportional to 31,142.40, 46,713.60 and 17,145.60

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Solution

The fourth proportional to 31,142.40, 46,713.60 and 17,145.60 is: 25,718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,142.40 : 46,713.60 = 17,145.60 : x
  2. Step 2: Convert to fraction form
    31,142.40/46,713.60 = 17,145.60/x
  3. Step 3: Cross multiply
    31,142.40x = 46,713.60 × 17,145.60
  4. Step 4: Simplify right side
    31,142.40x = 800,932,700.16
  5. Step 5: Solve for x
    x = 800,932,700.16/31,142.40
  6. Step 6: Final answer
    x = 25,718.40

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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.