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Finding the Fourth Proportional to 56,916.96, 85,385.46 and 19,468.24

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Solution

The fourth proportional to 56,916.96, 85,385.46 and 19,468.24 is: 29,205.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,916.96 : 85,385.46 = 19,468.24 : x
  2. Step 2: Convert to fraction form
    56,916.96/85,385.46 = 19,468.24/x
  3. Step 3: Cross multiply
    56,916.96x = 85,385.46 × 19,468.24
  4. Step 4: Simplify right side
    56,916.96x = 1,662,304,627.79
  5. Step 5: Solve for x
    x = 1,662,304,627.79/56,916.96
  6. Step 6: Final answer
    x = 29,205.79

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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.