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Finding the Fourth Proportional to 55,509.85, 83,202.35 and 27,370.35

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Solution

The fourth proportional to 55,509.85, 83,202.35 and 27,370.35 is: 41,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,509.85 : 83,202.35 = 27,370.35 : x
  2. Step 2: Convert to fraction form
    55,509.85/83,202.35 = 27,370.35/x
  3. Step 3: Cross multiply
    55,509.85x = 83,202.35 × 27,370.35
  4. Step 4: Simplify right side
    55,509.85x = 2,277,277,440.32
  5. Step 5: Solve for x
    x = 2,277,277,440.32/55,509.85
  6. Step 6: Final answer
    x = 41,024.74

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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.