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Finding the Fourth Proportional to 42,820.88, 59,093.01 and 23,958

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Solution

The fourth proportional to 42,820.88, 59,093.01 and 23,958 is: 33,062.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,820.88 : 59,093.01 = 23,958 : x
  2. Step 2: Convert to fraction form
    42,820.88/59,093.01 = 23,958/x
  3. Step 3: Cross multiply
    42,820.88x = 59,093.01 × 23,958
  4. Step 4: Simplify right side
    42,820.88x = 1,415,750,333.58
  5. Step 5: Solve for x
    x = 1,415,750,333.58/42,820.88
  6. Step 6: Final answer
    x = 33,062.15

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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.