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Finding the Fourth Proportional to 32,989.60, 49,491.72 and 16,358.68

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Solution

The fourth proportional to 32,989.60, 49,491.72 and 16,358.68 is: 24,541.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,989.60 : 49,491.72 = 16,358.68 : x
  2. Step 2: Convert to fraction form
    32,989.60/49,491.72 = 16,358.68/x
  3. Step 3: Cross multiply
    32,989.60x = 49,491.72 × 16,358.68
  4. Step 4: Simplify right side
    32,989.60x = 809,619,210.13
  5. Step 5: Solve for x
    x = 809,619,210.13/32,989.60
  6. Step 6: Final answer
    x = 24,541.65

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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.