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Finding the Fourth Proportional to 56,805.10, 78,404.38 and 35,311.06

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Solution

The fourth proportional to 56,805.10, 78,404.38 and 35,311.06 is: 48,737.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,805.10 : 78,404.38 = 35,311.06 : x
  2. Step 2: Convert to fraction form
    56,805.10/78,404.38 = 35,311.06/x
  3. Step 3: Cross multiply
    56,805.10x = 78,404.38 × 35,311.06
  4. Step 4: Simplify right side
    56,805.10x = 2,768,541,374.42
  5. Step 5: Solve for x
    x = 2,768,541,374.42/56,805.10
  6. Step 6: Final answer
    x = 48,737.55

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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.