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Finding the Fourth Proportional to 31,142.63, 46,713.95 and 10,366.13

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Solution

The fourth proportional to 31,142.63, 46,713.95 and 10,366.13 is: 15,549.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,142.63 : 46,713.95 = 10,366.13 : x
  2. Step 2: Convert to fraction form
    31,142.63/46,713.95 = 10,366.13/x
  3. Step 3: Cross multiply
    31,142.63x = 46,713.95 × 10,366.13
  4. Step 4: Simplify right side
    31,142.63x = 484,242,593.11
  5. Step 5: Solve for x
    x = 484,242,593.11/31,142.63
  6. Step 6: Final answer
    x = 15,549.19

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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.