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Finding the Fourth Proportional to 51,202.98, 70,661.61 and 29,980.26

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Solution

The fourth proportional to 51,202.98, 70,661.61 and 29,980.26 is: 41,373.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,202.98 : 70,661.61 = 29,980.26 : x
  2. Step 2: Convert to fraction form
    51,202.98/70,661.61 = 29,980.26/x
  3. Step 3: Cross multiply
    51,202.98x = 70,661.61 × 29,980.26
  4. Step 4: Simplify right side
    51,202.98x = 2,118,453,439.82
  5. Step 5: Solve for x
    x = 2,118,453,439.82/51,202.98
  6. Step 6: Final answer
    x = 41,373.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.