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Finding the Fourth Proportional to 56,729.64, 85,094.46 and 56,647.65

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Solution

The fourth proportional to 56,729.64, 85,094.46 and 56,647.65 is: 84,971.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,729.64 : 85,094.46 = 56,647.65 : x
  2. Step 2: Convert to fraction form
    56,729.64/85,094.46 = 56,647.65/x
  3. Step 3: Cross multiply
    56,729.64x = 85,094.46 × 56,647.65
  4. Step 4: Simplify right side
    56,729.64x = 4,820,401,187.02
  5. Step 5: Solve for x
    x = 4,820,401,187.02/56,729.64
  6. Step 6: Final answer
    x = 84,971.48

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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.