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Finding the Fourth Proportional to 72,033.64, 108,050.48 and 19,443.12

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Solution

The fourth proportional to 72,033.64, 108,050.48 and 19,443.12 is: 29,164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,033.64 : 108,050.48 = 19,443.12 : x
  2. Step 2: Convert to fraction form
    72,033.64/108,050.48 = 19,443.12/x
  3. Step 3: Cross multiply
    72,033.64x = 108,050.48 × 19,443.12
  4. Step 4: Simplify right side
    72,033.64x = 2,100,838,448.70
  5. Step 5: Solve for x
    x = 2,100,838,448.70/72,033.64
  6. Step 6: Final answer
    x = 29,164.69

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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.