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Finding the Fourth Proportional to 32,896, 45,397.12 and 17,992.32

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Solution

The fourth proportional to 32,896, 45,397.12 and 17,992.32 is: 24,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,896 : 45,397.12 = 17,992.32 : x
  2. Step 2: Convert to fraction form
    32,896/45,397.12 = 17,992.32/x
  3. Step 3: Cross multiply
    32,896x = 45,397.12 × 17,992.32
  4. Step 4: Simplify right side
    32,896x = 816,799,510.12
  5. Step 5: Solve for x
    x = 816,799,510.12/32,896
  6. Step 6: Final answer
    x = 24,829.75

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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.