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Finding the Fourth Proportional to 30,662.70, 42,316.47 and 20,080.86

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Solution

The fourth proportional to 30,662.70, 42,316.47 and 20,080.86 is: 27,712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,662.70 : 42,316.47 = 20,080.86 : x
  2. Step 2: Convert to fraction form
    30,662.70/42,316.47 = 20,080.86/x
  3. Step 3: Cross multiply
    30,662.70x = 42,316.47 × 20,080.86
  4. Step 4: Simplify right side
    30,662.70x = 849,751,109.76
  5. Step 5: Solve for x
    x = 849,751,109.76/30,662.70
  6. Step 6: Final answer
    x = 27,712.86

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