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Finding the Fourth Proportional to 38,693.50, 58,048.45 and 12,416.69

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Solution

The fourth proportional to 38,693.50, 58,048.45 and 12,416.69 is: 18,627.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,693.50 : 58,048.45 = 12,416.69 : x
  2. Step 2: Convert to fraction form
    38,693.50/58,048.45 = 12,416.69/x
  3. Step 3: Cross multiply
    38,693.50x = 58,048.45 × 12,416.69
  4. Step 4: Simplify right side
    38,693.50x = 720,769,722.71
  5. Step 5: Solve for x
    x = 720,769,722.71/38,693.50
  6. Step 6: Final answer
    x = 18,627.67

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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.