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Finding the Fourth Proportional to 56,778.78, 85,184.81 and 16,798.81

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Solution

The fourth proportional to 56,778.78, 85,184.81 and 16,798.81 is: 25,203.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,778.78 : 85,184.81 = 16,798.81 : x
  2. Step 2: Convert to fraction form
    56,778.78/85,184.81 = 16,798.81/x
  3. Step 3: Cross multiply
    56,778.78x = 85,184.81 × 16,798.81
  4. Step 4: Simplify right side
    56,778.78x = 1,431,003,438.08
  5. Step 5: Solve for x
    x = 1,431,003,438.08/56,778.78
  6. Step 6: Final answer
    x = 25,203.14

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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.