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Finding the Fourth Proportional to 29,582.50, 44,380.23 and 11,114.50

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Solution

The fourth proportional to 29,582.50, 44,380.23 and 11,114.50 is: 16,674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,582.50 : 44,380.23 = 11,114.50 : x
  2. Step 2: Convert to fraction form
    29,582.50/44,380.23 = 11,114.50/x
  3. Step 3: Cross multiply
    29,582.50x = 44,380.23 × 11,114.50
  4. Step 4: Simplify right side
    29,582.50x = 493,264,066.34
  5. Step 5: Solve for x
    x = 493,264,066.34/29,582.50
  6. Step 6: Final answer
    x = 16,674.18

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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.