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Finding the Fourth Proportional to 37,138.57, 55,709.91 and 10,842.59

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Solution

The fourth proportional to 37,138.57, 55,709.91 and 10,842.59 is: 16,264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,138.57 : 55,709.91 = 10,842.59 : x
  2. Step 2: Convert to fraction form
    37,138.57/55,709.91 = 10,842.59/x
  3. Step 3: Cross multiply
    37,138.57x = 55,709.91 × 10,842.59
  4. Step 4: Simplify right side
    37,138.57x = 604,039,852.34
  5. Step 5: Solve for x
    x = 604,039,852.34/37,138.57
  6. Step 6: Final answer
    x = 16,264.49

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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.