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Finding the Fourth Proportional to 29,681.68, 40,878.12 and 22,942.48

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Solution

The fourth proportional to 29,681.68, 40,878.12 and 22,942.48 is: 31,596.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,681.68 : 40,878.12 = 22,942.48 : x
  2. Step 2: Convert to fraction form
    29,681.68/40,878.12 = 22,942.48/x
  3. Step 3: Cross multiply
    29,681.68x = 40,878.12 × 22,942.48
  4. Step 4: Simplify right side
    29,681.68x = 937,845,450.54
  5. Step 5: Solve for x
    x = 937,845,450.54/29,681.68
  6. Step 6: Final answer
    x = 31,596.78

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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.