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Finding the Fourth Proportional to 37,670.94, 56,437.50 and 17,643.66

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Solution

The fourth proportional to 37,670.94, 56,437.50 and 17,643.66 is: 26,433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,670.94 : 56,437.50 = 17,643.66 : x
  2. Step 2: Convert to fraction form
    37,670.94/56,437.50 = 17,643.66/x
  3. Step 3: Cross multiply
    37,670.94x = 56,437.50 × 17,643.66
  4. Step 4: Simplify right side
    37,670.94x = 995,764,061.25
  5. Step 5: Solve for x
    x = 995,764,061.25/37,670.94
  6. Step 6: Final answer
    x = 26,433.22

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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.