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Finding the Fourth Proportional to 57,586.16, 86,406.68 and 29,884.08

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Solution

The fourth proportional to 57,586.16, 86,406.68 and 29,884.08 is: 44,840.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,586.16 : 86,406.68 = 29,884.08 : x
  2. Step 2: Convert to fraction form
    57,586.16/86,406.68 = 29,884.08/x
  3. Step 3: Cross multiply
    57,586.16x = 86,406.68 × 29,884.08
  4. Step 4: Simplify right side
    57,586.16x = 2,582,184,137.65
  5. Step 5: Solve for x
    x = 2,582,184,137.65/57,586.16
  6. Step 6: Final answer
    x = 44,840.36

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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.