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Finding the Fourth Proportional to 70,800.44, 97,705.31 and 38,970

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Solution

The fourth proportional to 70,800.44, 97,705.31 and 38,970 is: 53,778.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,800.44 : 97,705.31 = 38,970 : x
  2. Step 2: Convert to fraction form
    70,800.44/97,705.31 = 38,970/x
  3. Step 3: Cross multiply
    70,800.44x = 97,705.31 × 38,970
  4. Step 4: Simplify right side
    70,800.44x = 3,807,575,735.85
  5. Step 5: Solve for x
    x = 3,807,575,735.85/70,800.44
  6. Step 6: Final answer
    x = 53,778.99

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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.