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Finding the Fourth Proportional to 34,031.54, 51,049.74 and 9,071.46

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Solution

The fourth proportional to 34,031.54, 51,049.74 and 9,071.46 is: 13,607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,031.54 : 51,049.74 = 9,071.46 : x
  2. Step 2: Convert to fraction form
    34,031.54/51,049.74 = 9,071.46/x
  3. Step 3: Cross multiply
    34,031.54x = 51,049.74 × 9,071.46
  4. Step 4: Simplify right side
    34,031.54x = 463,095,373.81
  5. Step 5: Solve for x
    x = 463,095,373.81/34,031.54
  6. Step 6: Final answer
    x = 13,607.83

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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.