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Finding the Fourth Proportional to 56,103.12, 77,419.26 and 30,951

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Solution

The fourth proportional to 56,103.12, 77,419.26 and 30,951 is: 42,710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,103.12 : 77,419.26 = 30,951 : x
  2. Step 2: Convert to fraction form
    56,103.12/77,419.26 = 30,951/x
  3. Step 3: Cross multiply
    56,103.12x = 77,419.26 × 30,951
  4. Step 4: Simplify right side
    56,103.12x = 2,396,203,516.26
  5. Step 5: Solve for x
    x = 2,396,203,516.26/56,103.12
  6. Step 6: Final answer
    x = 42,710.70

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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.