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Finding the Fourth Proportional to 32,102.82, 44,283.32 and 19,347.30

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Solution

The fourth proportional to 32,102.82, 44,283.32 and 19,347.30 is: 26,688.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,102.82 : 44,283.32 = 19,347.30 : x
  2. Step 2: Convert to fraction form
    32,102.82/44,283.32 = 19,347.30/x
  3. Step 3: Cross multiply
    32,102.82x = 44,283.32 × 19,347.30
  4. Step 4: Simplify right side
    32,102.82x = 856,762,677.04
  5. Step 5: Solve for x
    x = 856,762,677.04/32,102.82
  6. Step 6: Final answer
    x = 26,688.08

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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.