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Finding the Fourth Proportional to 34,188.80, 51,196.80 and 22,438.40

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Solution

The fourth proportional to 34,188.80, 51,196.80 and 22,438.40 is: 33,600.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,188.80 : 51,196.80 = 22,438.40 : x
  2. Step 2: Convert to fraction form
    34,188.80/51,196.80 = 22,438.40/x
  3. Step 3: Cross multiply
    34,188.80x = 51,196.80 × 22,438.40
  4. Step 4: Simplify right side
    34,188.80x = 1,148,774,277.12
  5. Step 5: Solve for x
    x = 1,148,774,277.12/34,188.80
  6. Step 6: Final answer
    x = 33,600.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.