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Finding the Fourth Proportional to 56,114.12, 77,442.24 and 32,249

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Solution

The fourth proportional to 56,114.12, 77,442.24 and 32,249 is: 44,506.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,114.12 : 77,442.24 = 32,249 : x
  2. Step 2: Convert to fraction form
    56,114.12/77,442.24 = 32,249/x
  3. Step 3: Cross multiply
    56,114.12x = 77,442.24 × 32,249
  4. Step 4: Simplify right side
    56,114.12x = 2,497,434,797.76
  5. Step 5: Solve for x
    x = 2,497,434,797.76/56,114.12
  6. Step 6: Final answer
    x = 44,506.35

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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.