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Finding the Fourth Proportional to 56,657.84, 78,183.05 and 32,786.06

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Solution

The fourth proportional to 56,657.84, 78,183.05 and 32,786.06 is: 45,242.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,657.84 : 78,183.05 = 32,786.06 : x
  2. Step 2: Convert to fraction form
    56,657.84/78,183.05 = 32,786.06/x
  3. Step 3: Cross multiply
    56,657.84x = 78,183.05 × 32,786.06
  4. Step 4: Simplify right side
    56,657.84x = 2,563,313,613.44
  5. Step 5: Solve for x
    x = 2,563,313,613.44/56,657.84
  6. Step 6: Final answer
    x = 45,242.00

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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.