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Finding the Fourth Proportional to 46,514.01, 69,765.82 and 12,782.61

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Solution

The fourth proportional to 46,514.01, 69,765.82 and 12,782.61 is: 19,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,514.01 : 69,765.82 = 12,782.61 : x
  2. Step 2: Convert to fraction form
    46,514.01/69,765.82 = 12,782.61/x
  3. Step 3: Cross multiply
    46,514.01x = 69,765.82 × 12,782.61
  4. Step 4: Simplify right side
    46,514.01x = 891,789,308.34
  5. Step 5: Solve for x
    x = 891,789,308.34/46,514.01
  6. Step 6: Final answer
    x = 19,172.49

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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.