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Finding the Fourth Proportional to 30,234.65, 45,360.14 and 10,514.30

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Solution

The fourth proportional to 30,234.65, 45,360.14 and 10,514.30 is: 15,774.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,234.65 : 45,360.14 = 10,514.30 : x
  2. Step 2: Convert to fraction form
    30,234.65/45,360.14 = 10,514.30/x
  3. Step 3: Cross multiply
    30,234.65x = 45,360.14 × 10,514.30
  4. Step 4: Simplify right side
    30,234.65x = 476,929,840.63
  5. Step 5: Solve for x
    x = 476,929,840.63/30,234.65
  6. Step 6: Final answer
    x = 15,774.28

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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.