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Finding the Fourth Proportional to 31,496, 43,464.48 and 17,348.80

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Solution

The fourth proportional to 31,496, 43,464.48 and 17,348.80 is: 23,941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,496 : 43,464.48 = 17,348.80 : x
  2. Step 2: Convert to fraction form
    31,496/43,464.48 = 17,348.80/x
  3. Step 3: Cross multiply
    31,496x = 43,464.48 × 17,348.80
  4. Step 4: Simplify right side
    31,496x = 754,056,570.62
  5. Step 5: Solve for x
    x = 754,056,570.62/31,496
  6. Step 6: Final answer
    x = 23,941.34

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1.5x scale

Why These Related Problems?

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