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Finding the Fourth Proportional to 57,706.48, 86,563.68 and 34,048.60

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Solution

The fourth proportional to 57,706.48, 86,563.68 and 34,048.60 is: 51,075.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,706.48 : 86,563.68 = 34,048.60 : x
  2. Step 2: Convert to fraction form
    57,706.48/86,563.68 = 34,048.60/x
  3. Step 3: Cross multiply
    57,706.48x = 86,563.68 × 34,048.60
  4. Step 4: Simplify right side
    57,706.48x = 2,947,372,114.85
  5. Step 5: Solve for x
    x = 2,947,372,114.85/57,706.48
  6. Step 6: Final answer
    x = 51,075.24

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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.