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Finding the Fourth Proportional to 75,147.84, 112,739.04 and 22,558.32

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Solution

The fourth proportional to 75,147.84, 112,739.04 and 22,558.32 is: 33,842.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,147.84 : 112,739.04 = 22,558.32 : x
  2. Step 2: Convert to fraction form
    75,147.84/112,739.04 = 22,558.32/x
  3. Step 3: Cross multiply
    75,147.84x = 112,739.04 × 22,558.32
  4. Step 4: Simplify right side
    75,147.84x = 2,543,203,340.81
  5. Step 5: Solve for x
    x = 2,543,203,340.81/75,147.84
  6. Step 6: Final answer
    x = 33,842.67

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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.