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Finding the Fourth Proportional to 42,970.50, 64,481.67 and 18,346.50

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Solution

The fourth proportional to 42,970.50, 64,481.67 and 18,346.50 is: 27,530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,970.50 : 64,481.67 = 18,346.50 : x
  2. Step 2: Convert to fraction form
    42,970.50/64,481.67 = 18,346.50/x
  3. Step 3: Cross multiply
    42,970.50x = 64,481.67 × 18,346.50
  4. Step 4: Simplify right side
    42,970.50x = 1,183,012,958.66
  5. Step 5: Solve for x
    x = 1,183,012,958.66/42,970.50
  6. Step 6: Final answer
    x = 27,530.82

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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.