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Finding the Fourth Proportional to 29,980.31, 44,962.63 and 8,914.68

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Solution

The fourth proportional to 29,980.31, 44,962.63 and 8,914.68 is: 13,369.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,980.31 : 44,962.63 = 8,914.68 : x
  2. Step 2: Convert to fraction form
    29,980.31/44,962.63 = 8,914.68/x
  3. Step 3: Cross multiply
    29,980.31x = 44,962.63 × 8,914.68
  4. Step 4: Simplify right side
    29,980.31x = 400,827,458.41
  5. Step 5: Solve for x
    x = 400,827,458.41/29,980.31
  6. Step 6: Final answer
    x = 13,369.69

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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.