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Finding the Fourth Proportional to 72,410.40, 108,615.66 and 19,820.32

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Solution

The fourth proportional to 72,410.40, 108,615.66 and 19,820.32 is: 29,730.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,410.40 : 108,615.66 = 19,820.32 : x
  2. Step 2: Convert to fraction form
    72,410.40/108,615.66 = 19,820.32/x
  3. Step 3: Cross multiply
    72,410.40x = 108,615.66 × 19,820.32
  4. Step 4: Simplify right side
    72,410.40x = 2,152,797,138.21
  5. Step 5: Solve for x
    x = 2,152,797,138.21/72,410.40
  6. Step 6: Final answer
    x = 29,730.50

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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.