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Finding the Fourth Proportional to 32,461.47, 48,698.52 and 12,469.50

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Solution

The fourth proportional to 32,461.47, 48,698.52 and 12,469.50 is: 18,706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,461.47 : 48,698.52 = 12,469.50 : x
  2. Step 2: Convert to fraction form
    32,461.47/48,698.52 = 12,469.50/x
  3. Step 3: Cross multiply
    32,461.47x = 48,698.52 × 12,469.50
  4. Step 4: Simplify right side
    32,461.47x = 607,246,148.38
  5. Step 5: Solve for x
    x = 607,246,148.38/32,461.47
  6. Step 6: Final answer
    x = 18,706.67

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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.