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Finding the Fourth Proportional to 56,778.99, 85,168.80 and 14,656.19

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Solution

The fourth proportional to 56,778.99, 85,168.80 and 14,656.19 is: 21,984.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,778.99 : 85,168.80 = 14,656.19 : x
  2. Step 2: Convert to fraction form
    56,778.99/85,168.80 = 14,656.19/x
  3. Step 3: Cross multiply
    56,778.99x = 85,168.80 × 14,656.19
  4. Step 4: Simplify right side
    56,778.99x = 1,248,250,327.79
  5. Step 5: Solve for x
    x = 1,248,250,327.79/56,778.99
  6. Step 6: Final answer
    x = 21,984.37

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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.