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Finding the Fourth Proportional to 32,695.44, 49,041.24 and 9,321.24

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Solution

The fourth proportional to 32,695.44, 49,041.24 and 9,321.24 is: 13,981.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,695.44 : 49,041.24 = 9,321.24 : x
  2. Step 2: Convert to fraction form
    32,695.44/49,041.24 = 9,321.24/x
  3. Step 3: Cross multiply
    32,695.44x = 49,041.24 × 9,321.24
  4. Step 4: Simplify right side
    32,695.44x = 457,125,167.94
  5. Step 5: Solve for x
    x = 457,125,167.94/32,695.44
  6. Step 6: Final answer
    x = 13,981.31

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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.