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Finding the Fourth Proportional to 71,255.65, 106,883.75 and 57,865.32

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Solution

The fourth proportional to 71,255.65, 106,883.75 and 57,865.32 is: 86,798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,255.65 : 106,883.75 = 57,865.32 : x
  2. Step 2: Convert to fraction form
    71,255.65/106,883.75 = 57,865.32/x
  3. Step 3: Cross multiply
    71,255.65x = 106,883.75 × 57,865.32
  4. Step 4: Simplify right side
    71,255.65x = 6,184,862,396.55
  5. Step 5: Solve for x
    x = 6,184,862,396.55/71,255.65
  6. Step 6: Final answer
    x = 86,798.20

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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.