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Finding the Fourth Proportional to 56,745.24, 85,124.22 and 19,309.24

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Solution

The fourth proportional to 56,745.24, 85,124.22 and 19,309.24 is: 28,966.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,745.24 : 85,124.22 = 19,309.24 : x
  2. Step 2: Convert to fraction form
    56,745.24/85,124.22 = 19,309.24/x
  3. Step 3: Cross multiply
    56,745.24x = 85,124.22 × 19,309.24
  4. Step 4: Simplify right side
    56,745.24x = 1,643,683,993.79
  5. Step 5: Solve for x
    x = 1,643,683,993.79/56,745.24
  6. Step 6: Final answer
    x = 28,966.02

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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.