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Finding the Fourth Proportional to 56,982.46, 85,385.40 and 42,927.34

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Solution

The fourth proportional to 56,982.46, 85,385.40 and 42,927.34 is: 64,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,982.46 : 85,385.40 = 42,927.34 : x
  2. Step 2: Convert to fraction form
    56,982.46/85,385.40 = 42,927.34/x
  3. Step 3: Cross multiply
    56,982.46x = 85,385.40 × 42,927.34
  4. Step 4: Simplify right side
    56,982.46x = 3,665,368,096.84
  5. Step 5: Solve for x
    x = 3,665,368,096.84/56,982.46
  6. Step 6: Final answer
    x = 64,324.50

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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.