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Finding the Fourth Proportional to 29,404.63, 44,090.34 and 9,677.89

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Solution

The fourth proportional to 29,404.63, 44,090.34 and 9,677.89 is: 14,511.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,404.63 : 44,090.34 = 9,677.89 : x
  2. Step 2: Convert to fraction form
    29,404.63/44,090.34 = 9,677.89/x
  3. Step 3: Cross multiply
    29,404.63x = 44,090.34 × 9,677.89
  4. Step 4: Simplify right side
    29,404.63x = 426,701,460.58
  5. Step 5: Solve for x
    x = 426,701,460.58/29,404.63
  6. Step 6: Final answer
    x = 14,511.37

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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.