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Finding the Fourth Proportional to 30,871.62, 46,307.07 and 7,498.08

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Solution

The fourth proportional to 30,871.62, 46,307.07 and 7,498.08 is: 11,247.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,871.62 : 46,307.07 = 7,498.08 : x
  2. Step 2: Convert to fraction form
    30,871.62/46,307.07 = 7,498.08/x
  3. Step 3: Cross multiply
    30,871.62x = 46,307.07 × 7,498.08
  4. Step 4: Simplify right side
    30,871.62x = 347,214,115.43
  5. Step 5: Solve for x
    x = 347,214,115.43/30,871.62
  6. Step 6: Final answer
    x = 11,247.03

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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.