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Finding the Fourth Proportional to 57,585.16, 86,405.18 and 29,883.08

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Solution

The fourth proportional to 57,585.16, 86,405.18 and 29,883.08 is: 44,838.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,585.16 : 86,405.18 = 29,883.08 : x
  2. Step 2: Convert to fraction form
    57,585.16/86,405.18 = 29,883.08/x
  3. Step 3: Cross multiply
    57,585.16x = 86,405.18 × 29,883.08
  4. Step 4: Simplify right side
    57,585.16x = 2,582,052,906.35
  5. Step 5: Solve for x
    x = 2,582,052,906.35/57,585.16
  6. Step 6: Final answer
    x = 44,838.86

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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.