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Finding the Fourth Proportional to 42,770.34, 59,022 and 24,870.96

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Solution

The fourth proportional to 42,770.34, 59,022 and 24,870.96 is: 34,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,770.34 : 59,022 = 24,870.96 : x
  2. Step 2: Convert to fraction form
    42,770.34/59,022 = 24,870.96/x
  3. Step 3: Cross multiply
    42,770.34x = 59,022 × 24,870.96
  4. Step 4: Simplify right side
    42,770.34x = 1,467,933,801.12
  5. Step 5: Solve for x
    x = 1,467,933,801.12/42,770.34
  6. Step 6: Final answer
    x = 34,321.30

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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.