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Finding the Fourth Proportional to 32,225.06, 44,461.44 and 20,895

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Solution

The fourth proportional to 32,225.06, 44,461.44 and 20,895 is: 28,829.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,225.06 : 44,461.44 = 20,895 : x
  2. Step 2: Convert to fraction form
    32,225.06/44,461.44 = 20,895/x
  3. Step 3: Cross multiply
    32,225.06x = 44,461.44 × 20,895
  4. Step 4: Simplify right side
    32,225.06x = 929,021,788.80
  5. Step 5: Solve for x
    x = 929,021,788.80/32,225.06
  6. Step 6: Final answer
    x = 28,829.18

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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.