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Finding the Fourth Proportional to 72,433.80, 108,564.30 and 30,313.80

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Solution

The fourth proportional to 72,433.80, 108,564.30 and 30,313.80 is: 45,434.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,433.80 : 108,564.30 = 30,313.80 : x
  2. Step 2: Convert to fraction form
    72,433.80/108,564.30 = 30,313.80/x
  3. Step 3: Cross multiply
    72,433.80x = 108,564.30 × 30,313.80
  4. Step 4: Simplify right side
    72,433.80x = 3,290,996,477.34
  5. Step 5: Solve for x
    x = 3,290,996,477.34/72,433.80
  6. Step 6: Final answer
    x = 45,434.54

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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.