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Finding the Fourth Proportional to 77,353.95, 116,064 and 32,385.81

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Solution

The fourth proportional to 77,353.95, 116,064 and 32,385.81 is: 48,592.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,353.95 : 116,064 = 32,385.81 : x
  2. Step 2: Convert to fraction form
    77,353.95/116,064 = 32,385.81/x
  3. Step 3: Cross multiply
    77,353.95x = 116,064 × 32,385.81
  4. Step 4: Simplify right side
    77,353.95x = 3,758,826,651.84
  5. Step 5: Solve for x
    x = 3,758,826,651.84/77,353.95
  6. Step 6: Final answer
    x = 48,592.56

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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.