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Finding the Fourth Proportional to 57,905.76, 86,900.18 and 24,649.19

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Solution

The fourth proportional to 57,905.76, 86,900.18 and 24,649.19 is: 36,991.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,905.76 : 86,900.18 = 24,649.19 : x
  2. Step 2: Convert to fraction form
    57,905.76/86,900.18 = 24,649.19/x
  3. Step 3: Cross multiply
    57,905.76x = 86,900.18 × 24,649.19
  4. Step 4: Simplify right side
    57,905.76x = 2,142,019,047.85
  5. Step 5: Solve for x
    x = 2,142,019,047.85/57,905.76
  6. Step 6: Final answer
    x = 36,991.47

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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.