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Finding the Fourth Proportional to 30,494.07, 41,697.59 and 30,494.07

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Solution

The fourth proportional to 30,494.07, 41,697.59 and 30,494.07 is: 41,697.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,494.07 : 41,697.59 = 30,494.07 : x
  2. Step 2: Convert to fraction form
    30,494.07/41,697.59 = 30,494.07/x
  3. Step 3: Cross multiply
    30,494.07x = 41,697.59 × 30,494.07
  4. Step 4: Simplify right side
    30,494.07x = 1,271,529,075.82
  5. Step 5: Solve for x
    x = 1,271,529,075.82/30,494.07
  6. Step 6: Final answer
    x = 41,697.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.