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Finding the Fourth Proportional to 32,698.10, 49,048.92 and 10,509.80

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Solution

The fourth proportional to 32,698.10, 49,048.92 and 10,509.80 is: 15,765.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,698.10 : 49,048.92 = 10,509.80 : x
  2. Step 2: Convert to fraction form
    32,698.10/49,048.92 = 10,509.80/x
  3. Step 3: Cross multiply
    32,698.10x = 49,048.92 × 10,509.80
  4. Step 4: Simplify right side
    32,698.10x = 515,494,339.42
  5. Step 5: Solve for x
    x = 515,494,339.42/32,698.10
  6. Step 6: Final answer
    x = 15,765.27

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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.