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Finding the Fourth Proportional to 57,111.56, 78,814.06 and 31,961.06

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Solution

The fourth proportional to 57,111.56, 78,814.06 and 31,961.06 is: 44,106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,111.56 : 78,814.06 = 31,961.06 : x
  2. Step 2: Convert to fraction form
    57,111.56/78,814.06 = 31,961.06/x
  3. Step 3: Cross multiply
    57,111.56x = 78,814.06 × 31,961.06
  4. Step 4: Simplify right side
    57,111.56x = 2,518,980,900.50
  5. Step 5: Solve for x
    x = 2,518,980,900.50/57,111.56
  6. Step 6: Final answer
    x = 44,106.32

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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.