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Finding the Fourth Proportional to 32,559.14, 48,805.50 and 12,829.70

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Solution

The fourth proportional to 32,559.14, 48,805.50 and 12,829.70 is: 19,231.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,559.14 : 48,805.50 = 12,829.70 : x
  2. Step 2: Convert to fraction form
    32,559.14/48,805.50 = 12,829.70/x
  3. Step 3: Cross multiply
    32,559.14x = 48,805.50 × 12,829.70
  4. Step 4: Simplify right side
    32,559.14x = 626,159,923.35
  5. Step 5: Solve for x
    x = 626,159,923.35/32,559.14
  6. Step 6: Final answer
    x = 19,231.46

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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.