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Finding the Fourth Proportional to 56,050.76, 84,082.31 and 27,977.87

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Solution

The fourth proportional to 56,050.76, 84,082.31 and 27,977.87 is: 41,969.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,050.76 : 84,082.31 = 27,977.87 : x
  2. Step 2: Convert to fraction form
    56,050.76/84,082.31 = 27,977.87/x
  3. Step 3: Cross multiply
    56,050.76x = 84,082.31 × 27,977.87
  4. Step 4: Simplify right side
    56,050.76x = 2,352,443,378.18
  5. Step 5: Solve for x
    x = 2,352,443,378.18/56,050.76
  6. Step 6: Final answer
    x = 41,969.88

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1.5x scale

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.