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Finding the Fourth Proportional to 31,656, 43,681.50 and 17,506.92

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Solution

The fourth proportional to 31,656, 43,681.50 and 17,506.92 is: 24,157.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,656 : 43,681.50 = 17,506.92 : x
  2. Step 2: Convert to fraction form
    31,656/43,681.50 = 17,506.92/x
  3. Step 3: Cross multiply
    31,656x = 43,681.50 × 17,506.92
  4. Step 4: Simplify right side
    31,656x = 764,728,525.98
  5. Step 5: Solve for x
    x = 764,728,525.98/31,656
  6. Step 6: Final answer
    x = 24,157.46

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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.