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Finding the Fourth Proportional to 105,759, 145,947.42 and 61,047

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Solution

The fourth proportional to 105,759, 145,947.42 and 61,047 is: 84,244.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,759 : 145,947.42 = 61,047 : x
  2. Step 2: Convert to fraction form
    105,759/145,947.42 = 61,047/x
  3. Step 3: Cross multiply
    105,759x = 145,947.42 × 61,047
  4. Step 4: Simplify right side
    105,759x = 8,909,652,148.74
  5. Step 5: Solve for x
    x = 8,909,652,148.74/105,759
  6. Step 6: Final answer
    x = 84,244.86

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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.