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Finding the Fourth Proportional to 30,270, 45,446.73 and 20,887.77

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Solution

The fourth proportional to 30,270, 45,446.73 and 20,887.77 is: 31,360.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,270 : 45,446.73 = 20,887.77 : x
  2. Step 2: Convert to fraction form
    30,270/45,446.73 = 20,887.77/x
  3. Step 3: Cross multiply
    30,270x = 45,446.73 × 20,887.77
  4. Step 4: Simplify right side
    30,270x = 949,280,843.49
  5. Step 5: Solve for x
    x = 949,280,843.49/30,270
  6. Step 6: Final answer
    x = 31,360.45

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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.