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Finding the Fourth Proportional to 32,206, 44,429.16 and 22,779.76

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Solution

The fourth proportional to 32,206, 44,429.16 and 22,779.76 is: 31,425.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,206 : 44,429.16 = 22,779.76 : x
  2. Step 2: Convert to fraction form
    32,206/44,429.16 = 22,779.76/x
  3. Step 3: Cross multiply
    32,206x = 44,429.16 × 22,779.76
  4. Step 4: Simplify right side
    32,206x = 1,012,085,601.80
  5. Step 5: Solve for x
    x = 1,012,085,601.80/32,206
  6. Step 6: Final answer
    x = 31,425.37

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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.