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Finding the Fourth Proportional to 32,053.38, 48,076.44 and 8,681.64

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Solution

The fourth proportional to 32,053.38, 48,076.44 and 8,681.64 is: 13,021.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,053.38 : 48,076.44 = 8,681.64 : x
  2. Step 2: Convert to fraction form
    32,053.38/48,076.44 = 8,681.64/x
  3. Step 3: Cross multiply
    32,053.38x = 48,076.44 × 8,681.64
  4. Step 4: Simplify right side
    32,053.38x = 417,382,344.56
  5. Step 5: Solve for x
    x = 417,382,344.56/32,053.38
  6. Step 6: Final answer
    x = 13,021.48

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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.