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Finding the Fourth Proportional to 32,834.01, 49,261.95 and 10,648.11

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Solution

The fourth proportional to 32,834.01, 49,261.95 and 10,648.11 is: 15,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,834.01 : 49,261.95 = 10,648.11 : x
  2. Step 2: Convert to fraction form
    32,834.01/49,261.95 = 10,648.11/x
  3. Step 3: Cross multiply
    32,834.01x = 49,261.95 × 10,648.11
  4. Step 4: Simplify right side
    32,834.01x = 524,546,662.41
  5. Step 5: Solve for x
    x = 524,546,662.41/32,834.01
  6. Step 6: Final answer
    x = 15,975.71

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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.