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Finding the Fourth Proportional to 32,205.50, 44,428.47 and 22,779.26

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Solution

The fourth proportional to 32,205.50, 44,428.47 and 22,779.26 is: 31,424.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,205.50 : 44,428.47 = 22,779.26 : x
  2. Step 2: Convert to fraction form
    32,205.50/44,428.47 = 22,779.26/x
  3. Step 3: Cross multiply
    32,205.50x = 44,428.47 × 22,779.26
  4. Step 4: Simplify right side
    32,205.50x = 1,012,047,669.53
  5. Step 5: Solve for x
    x = 1,012,047,669.53/32,205.50
  6. Step 6: Final answer
    x = 31,424.68

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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.