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Finding the Fourth Proportional to 47,048.40, 64,930.20 and 31,105.20

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Solution

The fourth proportional to 47,048.40, 64,930.20 and 31,105.20 is: 42,927.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,048.40 : 64,930.20 = 31,105.20 : x
  2. Step 2: Convert to fraction form
    47,048.40/64,930.20 = 31,105.20/x
  3. Step 3: Cross multiply
    47,048.40x = 64,930.20 × 31,105.20
  4. Step 4: Simplify right side
    47,048.40x = 2,019,666,857.04
  5. Step 5: Solve for x
    x = 2,019,666,857.04/47,048.40
  6. Step 6: Final answer
    x = 42,927.43

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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.