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Finding the Fourth Proportional to 56,240.12, 77,608.32 and 31,088

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Solution

The fourth proportional to 56,240.12, 77,608.32 and 31,088 is: 42,899.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,240.12 : 77,608.32 = 31,088 : x
  2. Step 2: Convert to fraction form
    56,240.12/77,608.32 = 31,088/x
  3. Step 3: Cross multiply
    56,240.12x = 77,608.32 × 31,088
  4. Step 4: Simplify right side
    56,240.12x = 2,412,687,452.16
  5. Step 5: Solve for x
    x = 2,412,687,452.16/56,240.12
  6. Step 6: Final answer
    x = 42,899.76

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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.