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Finding the Fourth Proportional to 57,050.87, 78,714.09 and 34,078.01

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Solution

The fourth proportional to 57,050.87, 78,714.09 and 34,078.01 is: 47,018.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,050.87 : 78,714.09 = 34,078.01 : x
  2. Step 2: Convert to fraction form
    57,050.87/78,714.09 = 34,078.01/x
  3. Step 3: Cross multiply
    57,050.87x = 78,714.09 × 34,078.01
  4. Step 4: Simplify right side
    57,050.87x = 2,682,419,152.59
  5. Step 5: Solve for x
    x = 2,682,419,152.59/57,050.87
  6. Step 6: Final answer
    x = 47,018.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.