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Finding the Fourth Proportional to 105,048, 157,573.37 and 34,927.31

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Solution

The fourth proportional to 105,048, 157,573.37 and 34,927.31 is: 52,391.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,048 : 157,573.37 = 34,927.31 : x
  2. Step 2: Convert to fraction form
    105,048/157,573.37 = 34,927.31/x
  3. Step 3: Cross multiply
    105,048x = 157,573.37 × 34,927.31
  4. Step 4: Simplify right side
    105,048x = 5,503,614,422.99
  5. Step 5: Solve for x
    x = 5,503,614,422.99/105,048
  6. Step 6: Final answer
    x = 52,391.43

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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.