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Finding the Fourth Proportional to 56,912.24, 85,368.24 and 19,472.64

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Solution

The fourth proportional to 56,912.24, 85,368.24 and 19,472.64 is: 29,208.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,912.24 : 85,368.24 = 19,472.64 : x
  2. Step 2: Convert to fraction form
    56,912.24/85,368.24 = 19,472.64/x
  3. Step 3: Cross multiply
    56,912.24x = 85,368.24 × 19,472.64
  4. Step 4: Simplify right side
    56,912.24x = 1,662,345,004.95
  5. Step 5: Solve for x
    x = 1,662,345,004.95/56,912.24
  6. Step 6: Final answer
    x = 29,208.92

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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.