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Finding the Fourth Proportional to 56,248.16, 77,619.36 and 31,096

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Solution

The fourth proportional to 56,248.16, 77,619.36 and 31,096 is: 42,910.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,248.16 : 77,619.36 = 31,096 : x
  2. Step 2: Convert to fraction form
    56,248.16/77,619.36 = 31,096/x
  3. Step 3: Cross multiply
    56,248.16x = 77,619.36 × 31,096
  4. Step 4: Simplify right side
    56,248.16x = 2,413,651,618.56
  5. Step 5: Solve for x
    x = 2,413,651,618.56/56,248.16
  6. Step 6: Final answer
    x = 42,910.77

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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.