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Finding the Fourth Proportional to 34,009.45, 51,014.11 and 9,049.50

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Solution

The fourth proportional to 34,009.45, 51,014.11 and 9,049.50 is: 13,574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,009.45 : 51,014.11 = 9,049.50 : x
  2. Step 2: Convert to fraction form
    34,009.45/51,014.11 = 9,049.50/x
  3. Step 3: Cross multiply
    34,009.45x = 51,014.11 × 9,049.50
  4. Step 4: Simplify right side
    34,009.45x = 461,652,188.45
  5. Step 5: Solve for x
    x = 461,652,188.45/34,009.45
  6. Step 6: Final answer
    x = 13,574.23

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1.5x scale

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.