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Finding the Fourth Proportional to 32,714.37, 49,074.54 and 10,522.26

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Solution

The fourth proportional to 32,714.37, 49,074.54 and 10,522.26 is: 15,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,714.37 : 49,074.54 = 10,522.26 : x
  2. Step 2: Convert to fraction form
    32,714.37/49,074.54 = 10,522.26/x
  3. Step 3: Cross multiply
    32,714.37x = 49,074.54 × 10,522.26
  4. Step 4: Simplify right side
    32,714.37x = 516,375,069.26
  5. Step 5: Solve for x
    x = 516,375,069.26/32,714.37
  6. Step 6: Final answer
    x = 15,784.35

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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.