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Finding the Fourth Proportional to 40,729.77, 61,101.86 and 14,449.77

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Solution

The fourth proportional to 40,729.77, 61,101.86 and 14,449.77 is: 21,677.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,729.77 : 61,101.86 = 14,449.77 : x
  2. Step 2: Convert to fraction form
    40,729.77/61,101.86 = 14,449.77/x
  3. Step 3: Cross multiply
    40,729.77x = 61,101.86 × 14,449.77
  4. Step 4: Simplify right side
    40,729.77x = 882,907,751.32
  5. Step 5: Solve for x
    x = 882,907,751.32/40,729.77
  6. Step 6: Final answer
    x = 21,677.21

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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.