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Finding the Fourth Proportional to 32,657.88, 48,970.56 and 13,935

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Solution

The fourth proportional to 32,657.88, 48,970.56 and 13,935 is: 20,895.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,657.88 : 48,970.56 = 13,935 : x
  2. Step 2: Convert to fraction form
    32,657.88/48,970.56 = 13,935/x
  3. Step 3: Cross multiply
    32,657.88x = 48,970.56 × 13,935
  4. Step 4: Simplify right side
    32,657.88x = 682,404,753.60
  5. Step 5: Solve for x
    x = 682,404,753.60/32,657.88
  6. Step 6: Final answer
    x = 20,895.56

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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.