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Finding the Fourth Proportional to 56,826.65, 85,264.56 and 30,500.64

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Solution

The fourth proportional to 56,826.65, 85,264.56 and 30,500.64 is: 45,764.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,826.65 : 85,264.56 = 30,500.64 : x
  2. Step 2: Convert to fraction form
    56,826.65/85,264.56 = 30,500.64/x
  3. Step 3: Cross multiply
    56,826.65x = 85,264.56 × 30,500.64
  4. Step 4: Simplify right side
    56,826.65x = 2,600,623,649.32
  5. Step 5: Solve for x
    x = 2,600,623,649.32/56,826.65
  6. Step 6: Final answer
    x = 45,764.15

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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.