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Finding the Fourth Proportional to 29,470.76, 44,206.15 and 9,749.31

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Solution

The fourth proportional to 29,470.76, 44,206.15 and 9,749.31 is: 14,623.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,470.76 : 44,206.15 = 9,749.31 : x
  2. Step 2: Convert to fraction form
    29,470.76/44,206.15 = 9,749.31/x
  3. Step 3: Cross multiply
    29,470.76x = 44,206.15 × 9,749.31
  4. Step 4: Simplify right side
    29,470.76x = 430,979,688.80
  5. Step 5: Solve for x
    x = 430,979,688.80/29,470.76
  6. Step 6: Final answer
    x = 14,623.98

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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.