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Finding the Fourth Proportional to 29,534.49, 44,306.19 and 9,537.30

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Solution

The fourth proportional to 29,534.49, 44,306.19 and 9,537.30 is: 14,307.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,534.49 : 44,306.19 = 9,537.30 : x
  2. Step 2: Convert to fraction form
    29,534.49/44,306.19 = 9,537.30/x
  3. Step 3: Cross multiply
    29,534.49x = 44,306.19 × 9,537.30
  4. Step 4: Simplify right side
    29,534.49x = 422,561,425.89
  5. Step 5: Solve for x
    x = 422,561,425.89/29,534.49
  6. Step 6: Final answer
    x = 14,307.39

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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.