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Finding the Fourth Proportional to 32,648.12, 48,967.82 and 14,859.60

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Solution

The fourth proportional to 32,648.12, 48,967.82 and 14,859.60 is: 22,287.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,648.12 : 48,967.82 = 14,859.60 : x
  2. Step 2: Convert to fraction form
    32,648.12/48,967.82 = 14,859.60/x
  3. Step 3: Cross multiply
    32,648.12x = 48,967.82 × 14,859.60
  4. Step 4: Simplify right side
    32,648.12x = 727,642,143.77
  5. Step 5: Solve for x
    x = 727,642,143.77/32,648.12
  6. Step 6: Final answer
    x = 22,287.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.