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Finding the Fourth Proportional to 30,698.69, 45,998.84 and 27,746.24

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Solution

The fourth proportional to 30,698.69, 45,998.84 and 27,746.24 is: 41,574.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,698.69 : 45,998.84 = 27,746.24 : x
  2. Step 2: Convert to fraction form
    30,698.69/45,998.84 = 27,746.24/x
  3. Step 3: Cross multiply
    30,698.69x = 45,998.84 × 27,746.24
  4. Step 4: Simplify right side
    30,698.69x = 1,276,294,485.64
  5. Step 5: Solve for x
    x = 1,276,294,485.64/30,698.69
  6. Step 6: Final answer
    x = 41,574.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.