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Finding the Fourth Proportional to 30,790.50, 42,490.89 and 22,414.02

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Solution

The fourth proportional to 30,790.50, 42,490.89 and 22,414.02 is: 30,931.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,790.50 : 42,490.89 = 22,414.02 : x
  2. Step 2: Convert to fraction form
    30,790.50/42,490.89 = 22,414.02/x
  3. Step 3: Cross multiply
    30,790.50x = 42,490.89 × 22,414.02
  4. Step 4: Simplify right side
    30,790.50x = 952,391,658.28
  5. Step 5: Solve for x
    x = 952,391,658.28/30,790.50
  6. Step 6: Final answer
    x = 30,931.35

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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.