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Finding the Fourth Proportional to 32,888, 45,385.44 and 17,984

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Solution

The fourth proportional to 32,888, 45,385.44 and 17,984 is: 24,817.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,888 : 45,385.44 = 17,984 : x
  2. Step 2: Convert to fraction form
    32,888/45,385.44 = 17,984/x
  3. Step 3: Cross multiply
    32,888x = 45,385.44 × 17,984
  4. Step 4: Simplify right side
    32,888x = 816,211,752.96
  5. Step 5: Solve for x
    x = 816,211,752.96/32,888
  6. Step 6: Final answer
    x = 24,817.92

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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.