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Finding the Fourth Proportional to 105,105.56, 157,660.50 and 34,985.48

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Solution

The fourth proportional to 105,105.56, 157,660.50 and 34,985.48 is: 52,478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,105.56 : 157,660.50 = 34,985.48 : x
  2. Step 2: Convert to fraction form
    105,105.56/157,660.50 = 34,985.48/x
  3. Step 3: Cross multiply
    105,105.56x = 157,660.50 × 34,985.48
  4. Step 4: Simplify right side
    105,105.56x = 5,515,828,269.54
  5. Step 5: Solve for x
    x = 5,515,828,269.54/105,105.56
  6. Step 6: Final answer
    x = 52,478.94

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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.