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Finding the Fourth Proportional to 32,409.31, 44,715.54 and 21,095.46

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Solution

The fourth proportional to 32,409.31, 44,715.54 and 21,095.46 is: 29,105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.31 : 44,715.54 = 21,095.46 : x
  2. Step 2: Convert to fraction form
    32,409.31/44,715.54 = 21,095.46/x
  3. Step 3: Cross multiply
    32,409.31x = 44,715.54 × 21,095.46
  4. Step 4: Simplify right side
    32,409.31x = 943,294,885.45
  5. Step 5: Solve for x
    x = 943,294,885.45/32,409.31
  6. Step 6: Final answer
    x = 29,105.68

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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.