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Finding the Fourth Proportional to 76,200.80, 114,301.20 and 31,812.80

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Solution

The fourth proportional to 76,200.80, 114,301.20 and 31,812.80 is: 47,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,200.80 : 114,301.20 = 31,812.80 : x
  2. Step 2: Convert to fraction form
    76,200.80/114,301.20 = 31,812.80/x
  3. Step 3: Cross multiply
    76,200.80x = 114,301.20 × 31,812.80
  4. Step 4: Simplify right side
    76,200.80x = 3,636,241,215.36
  5. Step 5: Solve for x
    x = 3,636,241,215.36/76,200.80
  6. Step 6: Final answer
    x = 47,719.20

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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.