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Finding the Fourth Proportional to 55,728, 76,905.99 and 30,577.50

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Solution

The fourth proportional to 55,728, 76,905.99 and 30,577.50 is: 42,197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,728 : 76,905.99 = 30,577.50 : x
  2. Step 2: Convert to fraction form
    55,728/76,905.99 = 30,577.50/x
  3. Step 3: Cross multiply
    55,728x = 76,905.99 × 30,577.50
  4. Step 4: Simplify right side
    55,728x = 2,351,592,909.23
  5. Step 5: Solve for x
    x = 2,351,592,909.23/55,728
  6. Step 6: Final answer
    x = 42,197.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.