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Finding the Fourth Proportional to 32,192.91, 44,428.91 and 17,857.23

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Solution

The fourth proportional to 32,192.91, 44,428.91 and 17,857.23 is: 24,644.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,192.91 : 44,428.91 = 17,857.23 : x
  2. Step 2: Convert to fraction form
    32,192.91/44,428.91 = 17,857.23/x
  3. Step 3: Cross multiply
    32,192.91x = 44,428.91 × 17,857.23
  4. Step 4: Simplify right side
    32,192.91x = 793,377,383.49
  5. Step 5: Solve for x
    x = 793,377,383.49/32,192.91
  6. Step 6: Final answer
    x = 24,644.48

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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.