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Finding the Fourth Proportional to 34,032.84, 51,049.26 and 9,071.58

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Solution

The fourth proportional to 34,032.84, 51,049.26 and 9,071.58 is: 13,607.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,032.84 : 51,049.26 = 9,071.58 : x
  2. Step 2: Convert to fraction form
    34,032.84/51,049.26 = 9,071.58/x
  3. Step 3: Cross multiply
    34,032.84x = 51,049.26 × 9,071.58
  4. Step 4: Simplify right side
    34,032.84x = 463,097,446.03
  5. Step 5: Solve for x
    x = 463,097,446.03/34,032.84
  6. Step 6: Final answer
    x = 13,607.37

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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.