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Finding the Fourth Proportional to 72,406.20, 108,603.90 and 30,275.40

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Solution

The fourth proportional to 72,406.20, 108,603.90 and 30,275.40 is: 45,410.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,406.20 : 108,603.90 = 30,275.40 : x
  2. Step 2: Convert to fraction form
    72,406.20/108,603.90 = 30,275.40/x
  3. Step 3: Cross multiply
    72,406.20x = 108,603.90 × 30,275.40
  4. Step 4: Simplify right side
    72,406.20x = 3,288,026,514.06
  5. Step 5: Solve for x
    x = 3,288,026,514.06/72,406.20
  6. Step 6: Final answer
    x = 45,410.84

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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.