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Finding the Fourth Proportional to 32,291.07, 48,449.03 and 12,583.50

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Solution

The fourth proportional to 32,291.07, 48,449.03 and 12,583.50 is: 18,880.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,291.07 : 48,449.03 = 12,583.50 : x
  2. Step 2: Convert to fraction form
    32,291.07/48,449.03 = 12,583.50/x
  3. Step 3: Cross multiply
    32,291.07x = 48,449.03 × 12,583.50
  4. Step 4: Simplify right side
    32,291.07x = 609,658,306.09
  5. Step 5: Solve for x
    x = 609,658,306.09/32,291.07
  6. Step 6: Final answer
    x = 18,880.09

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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.