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Finding the Fourth Proportional to 75,417.48, 113,038.74 and 33,777

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Solution

The fourth proportional to 75,417.48, 113,038.74 and 33,777 is: 50,626.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,417.48 : 113,038.74 = 33,777 : x
  2. Step 2: Convert to fraction form
    75,417.48/113,038.74 = 33,777/x
  3. Step 3: Cross multiply
    75,417.48x = 113,038.74 × 33,777
  4. Step 4: Simplify right side
    75,417.48x = 3,818,109,520.98
  5. Step 5: Solve for x
    x = 3,818,109,520.98/75,417.48
  6. Step 6: Final answer
    x = 50,626.32

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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.