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Finding the Fourth Proportional to 116,494.74, 174,742.34 and 32,255.19

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Solution

The fourth proportional to 116,494.74, 174,742.34 and 32,255.19 is: 48,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,494.74 : 174,742.34 = 32,255.19 : x
  2. Step 2: Convert to fraction form
    116,494.74/174,742.34 = 32,255.19/x
  3. Step 3: Cross multiply
    116,494.74x = 174,742.34 × 32,255.19
  4. Step 4: Simplify right side
    116,494.74x = 5,636,347,216.47
  5. Step 5: Solve for x
    x = 5,636,347,216.47/116,494.74
  6. Step 6: Final answer
    x = 48,382.85

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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.