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Finding the Fourth Proportional to 57,806.16, 86,720.94 and 32,858.16

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Solution

The fourth proportional to 57,806.16, 86,720.94 and 32,858.16 is: 49,293.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,806.16 : 86,720.94 = 32,858.16 : x
  2. Step 2: Convert to fraction form
    57,806.16/86,720.94 = 32,858.16/x
  3. Step 3: Cross multiply
    57,806.16x = 86,720.94 × 32,858.16
  4. Step 4: Simplify right side
    57,806.16x = 2,849,490,521.87
  5. Step 5: Solve for x
    x = 2,849,490,521.87/57,806.16
  6. Step 6: Final answer
    x = 49,293.89

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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.