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Finding the Fourth Proportional to 30,666.20, 46,010.10 and 29,586.20

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Solution

The fourth proportional to 30,666.20, 46,010.10 and 29,586.20 is: 44,389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,666.20 : 46,010.10 = 29,586.20 : x
  2. Step 2: Convert to fraction form
    30,666.20/46,010.10 = 29,586.20/x
  3. Step 3: Cross multiply
    30,666.20x = 46,010.10 × 29,586.20
  4. Step 4: Simplify right side
    30,666.20x = 1,361,264,020.62
  5. Step 5: Solve for x
    x = 1,361,264,020.62/30,666.20
  6. Step 6: Final answer
    x = 44,389.72

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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.