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Finding the Fourth Proportional to 57,166.88, 85,601.28 and 46,012.64

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Solution

The fourth proportional to 57,166.88, 85,601.28 and 46,012.64 is: 68,899.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,166.88 : 85,601.28 = 46,012.64 : x
  2. Step 2: Convert to fraction form
    57,166.88/85,601.28 = 46,012.64/x
  3. Step 3: Cross multiply
    57,166.88x = 85,601.28 × 46,012.64
  4. Step 4: Simplify right side
    57,166.88x = 3,938,740,880.18
  5. Step 5: Solve for x
    x = 3,938,740,880.18/57,166.88
  6. Step 6: Final answer
    x = 68,899.00

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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.