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Finding the Fourth Proportional to 78,202.51, 117,320.16 and 33,835.57

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Solution

The fourth proportional to 78,202.51, 117,320.16 and 33,835.57 is: 50,760.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,202.51 : 117,320.16 = 33,835.57 : x
  2. Step 2: Convert to fraction form
    78,202.51/117,320.16 = 33,835.57/x
  3. Step 3: Cross multiply
    78,202.51x = 117,320.16 × 33,835.57
  4. Step 4: Simplify right side
    78,202.51x = 3,969,594,319.67
  5. Step 5: Solve for x
    x = 3,969,594,319.67/78,202.51
  6. Step 6: Final answer
    x = 50,760.45

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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.