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Finding the Fourth Proportional to 31,972, 44,127.06 and 20,045.56

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Solution

The fourth proportional to 31,972, 44,127.06 and 20,045.56 is: 27,666.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,972 : 44,127.06 = 20,045.56 : x
  2. Step 2: Convert to fraction form
    31,972/44,127.06 = 20,045.56/x
  3. Step 3: Cross multiply
    31,972x = 44,127.06 × 20,045.56
  4. Step 4: Simplify right side
    31,972x = 884,551,628.85
  5. Step 5: Solve for x
    x = 884,551,628.85/31,972
  6. Step 6: Final answer
    x = 27,666.45

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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.