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Finding the Fourth Proportional to 29,470.80, 44,216.76 and 14,678.40

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Solution

The fourth proportional to 29,470.80, 44,216.76 and 14,678.40 is: 22,022.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,470.80 : 44,216.76 = 14,678.40 : x
  2. Step 2: Convert to fraction form
    29,470.80/44,216.76 = 14,678.40/x
  3. Step 3: Cross multiply
    29,470.80x = 44,216.76 × 14,678.40
  4. Step 4: Simplify right side
    29,470.80x = 649,031,289.98
  5. Step 5: Solve for x
    x = 649,031,289.98/29,470.80
  6. Step 6: Final answer
    x = 22,022.86

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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.