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Finding the Fourth Proportional to 32,564.91, 48,891.50 and 22,545.60

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Solution

The fourth proportional to 32,564.91, 48,891.50 and 22,545.60 is: 33,848.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,564.91 : 48,891.50 = 22,545.60 : x
  2. Step 2: Convert to fraction form
    32,564.91/48,891.50 = 22,545.60/x
  3. Step 3: Cross multiply
    32,564.91x = 48,891.50 × 22,545.60
  4. Step 4: Simplify right side
    32,564.91x = 1,102,288,089.67
  5. Step 5: Solve for x
    x = 1,102,288,089.67/32,564.91
  6. Step 6: Final answer
    x = 33,848.95

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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.