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Finding the Fourth Proportional to 42,814.56, 59,086.32 and 23,952

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Solution

The fourth proportional to 42,814.56, 59,086.32 and 23,952 is: 33,055.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,814.56 : 59,086.32 = 23,952 : x
  2. Step 2: Convert to fraction form
    42,814.56/59,086.32 = 23,952/x
  3. Step 3: Cross multiply
    42,814.56x = 59,086.32 × 23,952
  4. Step 4: Simplify right side
    42,814.56x = 1,415,235,536.64
  5. Step 5: Solve for x
    x = 1,415,235,536.64/42,814.56
  6. Step 6: Final answer
    x = 33,055.01

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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.