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Finding the Fourth Proportional to 32,667, 45,088.14 and 19,426.68

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Solution

The fourth proportional to 32,667, 45,088.14 and 19,426.68 is: 26,813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,667 : 45,088.14 = 19,426.68 : x
  2. Step 2: Convert to fraction form
    32,667/45,088.14 = 19,426.68/x
  3. Step 3: Cross multiply
    32,667x = 45,088.14 × 19,426.68
  4. Step 4: Simplify right side
    32,667x = 875,912,867.58
  5. Step 5: Solve for x
    x = 875,912,867.58/32,667
  6. Step 6: Final answer
    x = 26,813.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.