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Finding the Fourth Proportional to 72,461.20, 108,686.40 and 30,330.40

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Solution

The fourth proportional to 72,461.20, 108,686.40 and 30,330.40 is: 45,493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,461.20 : 108,686.40 = 30,330.40 : x
  2. Step 2: Convert to fraction form
    72,461.20/108,686.40 = 30,330.40/x
  3. Step 3: Cross multiply
    72,461.20x = 108,686.40 × 30,330.40
  4. Step 4: Simplify right side
    72,461.20x = 3,296,501,986.56
  5. Step 5: Solve for x
    x = 3,296,501,986.56/72,461.20
  6. Step 6: Final answer
    x = 45,493.34

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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.