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Finding the Fourth Proportional to 56,022.50, 77,311.05 and 30,872

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Solution

The fourth proportional to 56,022.50, 77,311.05 and 30,872 is: 42,603.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,022.50 : 77,311.05 = 30,872 : x
  2. Step 2: Convert to fraction form
    56,022.50/77,311.05 = 30,872/x
  3. Step 3: Cross multiply
    56,022.50x = 77,311.05 × 30,872
  4. Step 4: Simplify right side
    56,022.50x = 2,386,746,735.60
  5. Step 5: Solve for x
    x = 2,386,746,735.60/56,022.50
  6. Step 6: Final answer
    x = 42,603.36

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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.