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Finding the Fourth Proportional to 57,800.16, 86,693.94 and 39,199.68

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Solution

The fourth proportional to 57,800.16, 86,693.94 and 39,199.68 is: 58,795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,800.16 : 86,693.94 = 39,199.68 : x
  2. Step 2: Convert to fraction form
    57,800.16/86,693.94 = 39,199.68/x
  3. Step 3: Cross multiply
    57,800.16x = 86,693.94 × 39,199.68
  4. Step 4: Simplify right side
    57,800.16x = 3,398,374,705.94
  5. Step 5: Solve for x
    x = 3,398,374,705.94/57,800.16
  6. Step 6: Final answer
    x = 58,795.25

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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.