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Finding the Fourth Proportional to 29,097, 43,645.50 and 9,377.58

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Solution

The fourth proportional to 29,097, 43,645.50 and 9,377.58 is: 14,066.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,097 : 43,645.50 = 9,377.58 : x
  2. Step 2: Convert to fraction form
    29,097/43,645.50 = 9,377.58/x
  3. Step 3: Cross multiply
    29,097x = 43,645.50 × 9,377.58
  4. Step 4: Simplify right side
    29,097x = 409,289,167.89
  5. Step 5: Solve for x
    x = 409,289,167.89/29,097
  6. Step 6: Final answer
    x = 14,066.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.