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Finding the Fourth Proportional to 97,213.37, 134,171.84 and 56,924.78

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Solution

The fourth proportional to 97,213.37, 134,171.84 and 56,924.78 is: 78,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,213.37 : 134,171.84 = 56,924.78 : x
  2. Step 2: Convert to fraction form
    97,213.37/134,171.84 = 56,924.78/x
  3. Step 3: Cross multiply
    97,213.37x = 134,171.84 × 56,924.78
  4. Step 4: Simplify right side
    97,213.37x = 7,637,701,945.65
  5. Step 5: Solve for x
    x = 7,637,701,945.65/97,213.37
  6. Step 6: Final answer
    x = 78,566.38

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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.