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Finding the Fourth Proportional to 33,138.48, 49,706.36 and 13,417.20

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Solution

The fourth proportional to 33,138.48, 49,706.36 and 13,417.20 is: 20,125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,138.48 : 49,706.36 = 13,417.20 : x
  2. Step 2: Convert to fraction form
    33,138.48/49,706.36 = 13,417.20/x
  3. Step 3: Cross multiply
    33,138.48x = 49,706.36 × 13,417.20
  4. Step 4: Simplify right side
    33,138.48x = 666,920,173.39
  5. Step 5: Solve for x
    x = 666,920,173.39/33,138.48
  6. Step 6: Final answer
    x = 20,125.25

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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.