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Finding the Fourth Proportional to 29,709, 40,998.42 and 17,772.84

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Solution

The fourth proportional to 29,709, 40,998.42 and 17,772.84 is: 24,526.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,709 : 40,998.42 = 17,772.84 : x
  2. Step 2: Convert to fraction form
    29,709/40,998.42 = 17,772.84/x
  3. Step 3: Cross multiply
    29,709x = 40,998.42 × 17,772.84
  4. Step 4: Simplify right side
    29,709x = 728,658,358.91
  5. Step 5: Solve for x
    x = 728,658,358.91/29,709
  6. Step 6: Final answer
    x = 24,526.52

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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.