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Finding the Fourth Proportional to 37,670.41, 56,436.75 and 17,643.16

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Solution

The fourth proportional to 37,670.41, 56,436.75 and 17,643.16 is: 26,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,670.41 : 56,436.75 = 17,643.16 : x
  2. Step 2: Convert to fraction form
    37,670.41/56,436.75 = 17,643.16/x
  3. Step 3: Cross multiply
    37,670.41x = 56,436.75 × 17,643.16
  4. Step 4: Simplify right side
    37,670.41x = 995,722,610.13
  5. Step 5: Solve for x
    x = 995,722,610.13/37,670.41
  6. Step 6: Final answer
    x = 26,432.49

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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.