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Finding the Fourth Proportional to 29,829.50, 44,711.46 and 12,289.76

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Solution

The fourth proportional to 29,829.50, 44,711.46 and 12,289.76 is: 18,421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,829.50 : 44,711.46 = 12,289.76 : x
  2. Step 2: Convert to fraction form
    29,829.50/44,711.46 = 12,289.76/x
  3. Step 3: Cross multiply
    29,829.50x = 44,711.46 × 12,289.76
  4. Step 4: Simplify right side
    29,829.50x = 549,493,112.65
  5. Step 5: Solve for x
    x = 549,493,112.65/29,829.50
  6. Step 6: Final answer
    x = 18,421.13

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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.