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Finding the Fourth Proportional to 56,214.64, 77,575.25 and 30,720.44

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Solution

The fourth proportional to 56,214.64, 77,575.25 and 30,720.44 is: 42,393.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,214.64 : 77,575.25 = 30,720.44 : x
  2. Step 2: Convert to fraction form
    56,214.64/77,575.25 = 30,720.44/x
  3. Step 3: Cross multiply
    56,214.64x = 77,575.25 × 30,720.44
  4. Step 4: Simplify right side
    56,214.64x = 2,383,145,813.11
  5. Step 5: Solve for x
    x = 2,383,145,813.11/56,214.64
  6. Step 6: Final answer
    x = 42,393.69

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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.