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Finding the Fourth Proportional to 55,816.34, 83,728.11 and 24,651.50

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Solution

The fourth proportional to 55,816.34, 83,728.11 and 24,651.50 is: 36,978.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,816.34 : 83,728.11 = 24,651.50 : x
  2. Step 2: Convert to fraction form
    55,816.34/83,728.11 = 24,651.50/x
  3. Step 3: Cross multiply
    55,816.34x = 83,728.11 × 24,651.50
  4. Step 4: Simplify right side
    55,816.34x = 2,064,023,503.67
  5. Step 5: Solve for x
    x = 2,064,023,503.67/55,816.34
  6. Step 6: Final answer
    x = 36,978.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.