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Finding the Fourth Proportional to 30,778.92, 42,477.03 and 17,348.94

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Solution

The fourth proportional to 30,778.92, 42,477.03 and 17,348.94 is: 23,942.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.92 : 42,477.03 = 17,348.94 : x
  2. Step 2: Convert to fraction form
    30,778.92/42,477.03 = 17,348.94/x
  3. Step 3: Cross multiply
    30,778.92x = 42,477.03 × 17,348.94
  4. Step 4: Simplify right side
    30,778.92x = 736,931,444.85
  5. Step 5: Solve for x
    x = 736,931,444.85/30,778.92
  6. Step 6: Final answer
    x = 23,942.73

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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.