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Finding the Fourth Proportional to 32,205, 44,427.78 and 22,778.76

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Solution

The fourth proportional to 32,205, 44,427.78 and 22,778.76 is: 31,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,205 : 44,427.78 = 22,778.76 : x
  2. Step 2: Convert to fraction form
    32,205/44,427.78 = 22,778.76/x
  3. Step 3: Cross multiply
    32,205x = 44,427.78 × 22,778.76
  4. Step 4: Simplify right side
    32,205x = 1,012,009,737.95
  5. Step 5: Solve for x
    x = 1,012,009,737.95/32,205
  6. Step 6: Final answer
    x = 31,423.99

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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.