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Finding the Fourth Proportional to 32,468, 44,805.88 and 17,564

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Solution

The fourth proportional to 32,468, 44,805.88 and 17,564 is: 24,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,468 : 44,805.88 = 17,564 : x
  2. Step 2: Convert to fraction form
    32,468/44,805.88 = 17,564/x
  3. Step 3: Cross multiply
    32,468x = 44,805.88 × 17,564
  4. Step 4: Simplify right side
    32,468x = 786,970,476.32
  5. Step 5: Solve for x
    x = 786,970,476.32/32,468
  6. Step 6: Final answer
    x = 24,238.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.