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Finding the Fourth Proportional to 42,884.36, 59,185.86 and 24,980.20

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Solution

The fourth proportional to 42,884.36, 59,185.86 and 24,980.20 is: 34,475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,884.36 : 59,185.86 = 24,980.20 : x
  2. Step 2: Convert to fraction form
    42,884.36/59,185.86 = 24,980.20/x
  3. Step 3: Cross multiply
    42,884.36x = 59,185.86 × 24,980.20
  4. Step 4: Simplify right side
    42,884.36x = 1,478,474,619.97
  5. Step 5: Solve for x
    x = 1,478,474,619.97/42,884.36
  6. Step 6: Final answer
    x = 34,475.85

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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.