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Finding the Fourth Proportional to 72,416.09, 108,624.04 and 19,829.68

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Solution

The fourth proportional to 72,416.09, 108,624.04 and 19,829.68 is: 29,744.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,416.09 : 108,624.04 = 19,829.68 : x
  2. Step 2: Convert to fraction form
    72,416.09/108,624.04 = 19,829.68/x
  3. Step 3: Cross multiply
    72,416.09x = 108,624.04 × 19,829.68
  4. Step 4: Simplify right side
    72,416.09x = 2,153,979,632.37
  5. Step 5: Solve for x
    x = 2,153,979,632.37/72,416.09
  6. Step 6: Final answer
    x = 29,744.49

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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.