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Finding the Fourth Proportional to 30,887.68, 46,331.04 and 7,514.14

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Solution

The fourth proportional to 30,887.68, 46,331.04 and 7,514.14 is: 11,271.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,887.68 : 46,331.04 = 7,514.14 : x
  2. Step 2: Convert to fraction form
    30,887.68/46,331.04 = 7,514.14/x
  3. Step 3: Cross multiply
    30,887.68x = 46,331.04 × 7,514.14
  4. Step 4: Simplify right side
    30,887.68x = 348,137,920.91
  5. Step 5: Solve for x
    x = 348,137,920.91/30,887.68
  6. Step 6: Final answer
    x = 11,271.09

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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.