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Finding the Fourth Proportional to 32,307.74, 48,443.38 and 12,563.69

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Solution

The fourth proportional to 32,307.74, 48,443.38 and 12,563.69 is: 18,838.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,307.74 : 48,443.38 = 12,563.69 : x
  2. Step 2: Convert to fraction form
    32,307.74/48,443.38 = 12,563.69/x
  3. Step 3: Cross multiply
    32,307.74x = 48,443.38 × 12,563.69
  4. Step 4: Simplify right side
    32,307.74x = 608,627,405.92
  5. Step 5: Solve for x
    x = 608,627,405.92/32,307.74
  6. Step 6: Final answer
    x = 18,838.44

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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.