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Finding the Fourth Proportional to 37,842.55, 56,770.71 and 15,643.87

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Solution

The fourth proportional to 37,842.55, 56,770.71 and 15,643.87 is: 23,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,842.55 : 56,770.71 = 15,643.87 : x
  2. Step 2: Convert to fraction form
    37,842.55/56,770.71 = 15,643.87/x
  3. Step 3: Cross multiply
    37,842.55x = 56,770.71 × 15,643.87
  4. Step 4: Simplify right side
    37,842.55x = 888,113,607.05
  5. Step 5: Solve for x
    x = 888,113,607.05/37,842.55
  6. Step 6: Final answer
    x = 23,468.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.