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Finding the Fourth Proportional to 20,901.60, 31,538.60 and 20,091.52

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Solution

The fourth proportional to 20,901.60, 31,538.60 and 20,091.52 is: 30,316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,901.60 : 31,538.60 = 20,091.52 : x
  2. Step 2: Convert to fraction form
    20,901.60/31,538.60 = 20,091.52/x
  3. Step 3: Cross multiply
    20,901.60x = 31,538.60 × 20,091.52
  4. Step 4: Simplify right side
    20,901.60x = 633,658,412.67
  5. Step 5: Solve for x
    x = 633,658,412.67/20,901.60
  6. Step 6: Final answer
    x = 30,316.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.