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Finding the Fourth Proportional to 72,043.10, 108,056.14 and 19,456.68

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Solution

The fourth proportional to 72,043.10, 108,056.14 and 19,456.68 is: 29,182.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,043.10 : 108,056.14 = 19,456.68 : x
  2. Step 2: Convert to fraction form
    72,043.10/108,056.14 = 19,456.68/x
  3. Step 3: Cross multiply
    72,043.10x = 108,056.14 × 19,456.68
  4. Step 4: Simplify right side
    72,043.10x = 2,102,413,738.02
  5. Step 5: Solve for x
    x = 2,102,413,738.02/72,043.10
  6. Step 6: Final answer
    x = 29,182.72

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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.