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Finding the Fourth Proportional to 32,411.98, 48,613.86 and 12,704.38

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Solution

The fourth proportional to 32,411.98, 48,613.86 and 12,704.38 is: 19,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,411.98 : 48,613.86 = 12,704.38 : x
  2. Step 2: Convert to fraction form
    32,411.98/48,613.86 = 12,704.38/x
  3. Step 3: Cross multiply
    32,411.98x = 48,613.86 × 12,704.38
  4. Step 4: Simplify right side
    32,411.98x = 617,608,950.71
  5. Step 5: Solve for x
    x = 617,608,950.71/32,411.98
  6. Step 6: Final answer
    x = 19,054.96

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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.