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Finding the Fourth Proportional to 32,312.80, 44,596.32 and 21,016

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Solution

The fourth proportional to 32,312.80, 44,596.32 and 21,016 is: 29,005.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,312.80 : 44,596.32 = 21,016 : x
  2. Step 2: Convert to fraction form
    32,312.80/44,596.32 = 21,016/x
  3. Step 3: Cross multiply
    32,312.80x = 44,596.32 × 21,016
  4. Step 4: Simplify right side
    32,312.80x = 937,236,261.12
  5. Step 5: Solve for x
    x = 937,236,261.12/32,312.80
  6. Step 6: Final answer
    x = 29,005.11

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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.