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Finding the Fourth Proportional to 75,707.88, 113,587.11 and 33,582.16

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Solution

The fourth proportional to 75,707.88, 113,587.11 and 33,582.16 is: 50,384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,707.88 : 113,587.11 = 33,582.16 : x
  2. Step 2: Convert to fraction form
    75,707.88/113,587.11 = 33,582.16/x
  3. Step 3: Cross multiply
    75,707.88x = 113,587.11 × 33,582.16
  4. Step 4: Simplify right side
    75,707.88x = 3,814,500,643.94
  5. Step 5: Solve for x
    x = 3,814,500,643.94/75,707.88
  6. Step 6: Final answer
    x = 50,384.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.