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Finding the Fourth Proportional to 32,833.62, 49,258.22 and 10,647

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Solution

The fourth proportional to 32,833.62, 49,258.22 and 10,647 is: 15,973.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,833.62 : 49,258.22 = 10,647 : x
  2. Step 2: Convert to fraction form
    32,833.62/49,258.22 = 10,647/x
  3. Step 3: Cross multiply
    32,833.62x = 49,258.22 × 10,647
  4. Step 4: Simplify right side
    32,833.62x = 524,452,268.34
  5. Step 5: Solve for x
    x = 524,452,268.34/32,833.62
  6. Step 6: Final answer
    x = 15,973.03

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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.