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Finding the Fourth Proportional to 32,771.74, 49,164.90 and 10,580.98

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Solution

The fourth proportional to 32,771.74, 49,164.90 and 10,580.98 is: 15,873.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,771.74 : 49,164.90 = 10,580.98 : x
  2. Step 2: Convert to fraction form
    32,771.74/49,164.90 = 10,580.98/x
  3. Step 3: Cross multiply
    32,771.74x = 49,164.90 × 10,580.98
  4. Step 4: Simplify right side
    32,771.74x = 520,212,823.60
  5. Step 5: Solve for x
    x = 520,212,823.60/32,771.74
  6. Step 6: Final answer
    x = 15,873.82

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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.