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Finding the Fourth Proportional to 32,048.96, 44,227.52 and 19,309.50

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Solution

The fourth proportional to 32,048.96, 44,227.52 and 19,309.50 is: 26,647.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,048.96 : 44,227.52 = 19,309.50 : x
  2. Step 2: Convert to fraction form
    32,048.96/44,227.52 = 19,309.50/x
  3. Step 3: Cross multiply
    32,048.96x = 44,227.52 × 19,309.50
  4. Step 4: Simplify right side
    32,048.96x = 854,011,200.89
  5. Step 5: Solve for x
    x = 854,011,200.89/32,048.96
  6. Step 6: Final answer
    x = 26,647.08

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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.