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Finding the Fourth Proportional to 76,221.52, 105,198.72 and 44,409.28

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Solution

The fourth proportional to 76,221.52, 105,198.72 and 44,409.28 is: 61,292.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,221.52 : 105,198.72 = 44,409.28 : x
  2. Step 2: Convert to fraction form
    76,221.52/105,198.72 = 44,409.28/x
  3. Step 3: Cross multiply
    76,221.52x = 105,198.72 × 44,409.28
  4. Step 4: Simplify right side
    76,221.52x = 4,671,799,412.12
  5. Step 5: Solve for x
    x = 4,671,799,412.12/76,221.52
  6. Step 6: Final answer
    x = 61,292.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.