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Finding the Fourth Proportional to 37,883.16, 56,824.92 and 10,181.16

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Solution

The fourth proportional to 37,883.16, 56,824.92 and 10,181.16 is: 15,271.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,883.16 : 56,824.92 = 10,181.16 : x
  2. Step 2: Convert to fraction form
    37,883.16/56,824.92 = 10,181.16/x
  3. Step 3: Cross multiply
    37,883.16x = 56,824.92 × 10,181.16
  4. Step 4: Simplify right side
    37,883.16x = 578,543,602.51
  5. Step 5: Solve for x
    x = 578,543,602.51/37,883.16
  6. Step 6: Final answer
    x = 15,271.79

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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.