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Finding the Fourth Proportional to 32,858.46, 49,301.81 and 10,678.63

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Solution

The fourth proportional to 32,858.46, 49,301.81 and 10,678.63 is: 16,022.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,858.46 : 49,301.81 = 10,678.63 : x
  2. Step 2: Convert to fraction form
    32,858.46/49,301.81 = 10,678.63/x
  3. Step 3: Cross multiply
    32,858.46x = 49,301.81 × 10,678.63
  4. Step 4: Simplify right side
    32,858.46x = 526,475,733.93
  5. Step 5: Solve for x
    x = 526,475,733.93/32,858.46
  6. Step 6: Final answer
    x = 16,022.53

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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.