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Finding the Fourth Proportional to 29,875.78, 44,806.95 and 8,811.30

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Solution

The fourth proportional to 29,875.78, 44,806.95 and 8,811.30 is: 13,214.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,875.78 : 44,806.95 = 8,811.30 : x
  2. Step 2: Convert to fraction form
    29,875.78/44,806.95 = 8,811.30/x
  3. Step 3: Cross multiply
    29,875.78x = 44,806.95 × 8,811.30
  4. Step 4: Simplify right side
    29,875.78x = 394,807,478.54
  5. Step 5: Solve for x
    x = 394,807,478.54/29,875.78
  6. Step 6: Final answer
    x = 13,214.97

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Why These Related Problems?

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