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Finding the Fourth Proportional to 54,670.42, 82,017.14 and 30,989.32

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Solution

The fourth proportional to 54,670.42, 82,017.14 and 30,989.32 is: 46,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,670.42 : 82,017.14 = 30,989.32 : x
  2. Step 2: Convert to fraction form
    54,670.42/82,017.14 = 30,989.32/x
  3. Step 3: Cross multiply
    54,670.42x = 82,017.14 × 30,989.32
  4. Step 4: Simplify right side
    54,670.42x = 2,541,655,396.94
  5. Step 5: Solve for x
    x = 2,541,655,396.94/54,670.42
  6. Step 6: Final answer
    x = 46,490.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.