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Finding the Fourth Proportional to 32,677.97, 49,023.31 and 10,489.64

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Solution

The fourth proportional to 32,677.97, 49,023.31 and 10,489.64 is: 15,736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,677.97 : 49,023.31 = 10,489.64 : x
  2. Step 2: Convert to fraction form
    32,677.97/49,023.31 = 10,489.64/x
  3. Step 3: Cross multiply
    32,677.97x = 49,023.31 × 10,489.64
  4. Step 4: Simplify right side
    32,677.97x = 514,236,873.51
  5. Step 5: Solve for x
    x = 514,236,873.51/32,677.97
  6. Step 6: Final answer
    x = 15,736.50

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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.