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Finding the Fourth Proportional to 32,803.92, 49,216.32 and 13,838.58

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Solution

The fourth proportional to 32,803.92, 49,216.32 and 13,838.58 is: 20,762.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,803.92 : 49,216.32 = 13,838.58 : x
  2. Step 2: Convert to fraction form
    32,803.92/49,216.32 = 13,838.58/x
  3. Step 3: Cross multiply
    32,803.92x = 49,216.32 × 13,838.58
  4. Step 4: Simplify right side
    32,803.92x = 681,083,981.63
  5. Step 5: Solve for x
    x = 681,083,981.63/32,803.92
  6. Step 6: Final answer
    x = 20,762.27

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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.