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Finding the Fourth Proportional to 32,079.69, 48,127.74 and 13,353.50

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Solution

The fourth proportional to 32,079.69, 48,127.74 and 13,353.50 is: 20,033.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,079.69 : 48,127.74 = 13,353.50 : x
  2. Step 2: Convert to fraction form
    32,079.69/48,127.74 = 13,353.50/x
  3. Step 3: Cross multiply
    32,079.69x = 48,127.74 × 13,353.50
  4. Step 4: Simplify right side
    32,079.69x = 642,673,710.97
  5. Step 5: Solve for x
    x = 642,673,710.97/32,079.69
  6. Step 6: Final answer
    x = 20,033.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.