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Finding the Fourth Proportional to 32,684.46, 49,027.26 and 9,311.49

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Solution

The fourth proportional to 32,684.46, 49,027.26 and 9,311.49 is: 13,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,684.46 : 49,027.26 = 9,311.49 : x
  2. Step 2: Convert to fraction form
    32,684.46/49,027.26 = 9,311.49/x
  3. Step 3: Cross multiply
    32,684.46x = 49,027.26 × 9,311.49
  4. Step 4: Simplify right side
    32,684.46x = 456,516,841.22
  5. Step 5: Solve for x
    x = 456,516,841.22/32,684.46
  6. Step 6: Final answer
    x = 13,967.40

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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.