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Finding the Fourth Proportional to 32,078.24, 44,266.19 and 17,737.23

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Solution

The fourth proportional to 32,078.24, 44,266.19 and 17,737.23 is: 24,476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078.24 : 44,266.19 = 17,737.23 : x
  2. Step 2: Convert to fraction form
    32,078.24/44,266.19 = 17,737.23/x
  3. Step 3: Cross multiply
    32,078.24x = 44,266.19 × 17,737.23
  4. Step 4: Simplify right side
    32,078.24x = 785,159,593.25
  5. Step 5: Solve for x
    x = 785,159,593.25/32,078.24
  6. Step 6: Final answer
    x = 24,476.39

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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.