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Finding the Fourth Proportional to 56,149, 77,485.70 and 30,998.50

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Solution

The fourth proportional to 56,149, 77,485.70 and 30,998.50 is: 42,777.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,149 : 77,485.70 = 30,998.50 : x
  2. Step 2: Convert to fraction form
    56,149/77,485.70 = 30,998.50/x
  3. Step 3: Cross multiply
    56,149x = 77,485.70 × 30,998.50
  4. Step 4: Simplify right side
    56,149x = 2,401,940,471.45
  5. Step 5: Solve for x
    x = 2,401,940,471.45/56,149
  6. Step 6: Final answer
    x = 42,777.97

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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.