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Finding the Fourth Proportional to 56,916.78, 85,367.13 and 35,792.40

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Solution

The fourth proportional to 56,916.78, 85,367.13 and 35,792.40 is: 53,683.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,916.78 : 85,367.13 = 35,792.40 : x
  2. Step 2: Convert to fraction form
    56,916.78/85,367.13 = 35,792.40/x
  3. Step 3: Cross multiply
    56,916.78x = 85,367.13 × 35,792.40
  4. Step 4: Simplify right side
    56,916.78x = 3,055,494,649.72
  5. Step 5: Solve for x
    x = 3,055,494,649.72/56,916.78
  6. Step 6: Final answer
    x = 53,683.55

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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.