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Finding the Fourth Proportional to 56,046.08, 77,343.52 and 30,896

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Solution

The fourth proportional to 56,046.08, 77,343.52 and 30,896 is: 42,636.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,046.08 : 77,343.52 = 30,896 : x
  2. Step 2: Convert to fraction form
    56,046.08/77,343.52 = 30,896/x
  3. Step 3: Cross multiply
    56,046.08x = 77,343.52 × 30,896
  4. Step 4: Simplify right side
    56,046.08x = 2,389,605,393.92
  5. Step 5: Solve for x
    x = 2,389,605,393.92/56,046.08
  6. Step 6: Final answer
    x = 42,636.44

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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.