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Finding the Fourth Proportional to 130,470.48, 195,783.48 and 47,370.96

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Solution

The fourth proportional to 130,470.48, 195,783.48 and 47,370.96 is: 71,084.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,470.48 : 195,783.48 = 47,370.96 : x
  2. Step 2: Convert to fraction form
    130,470.48/195,783.48 = 47,370.96/x
  3. Step 3: Cross multiply
    130,470.48x = 195,783.48 × 47,370.96
  4. Step 4: Simplify right side
    130,470.48x = 9,274,451,399.74
  5. Step 5: Solve for x
    x = 9,274,451,399.74/130,470.48
  6. Step 6: Final answer
    x = 71,084.67

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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.