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Finding the Fourth Proportional to 30,494.96, 45,714.74 and 13,846.02

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Solution

The fourth proportional to 30,494.96, 45,714.74 and 13,846.02 is: 20,756.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,494.96 : 45,714.74 = 13,846.02 : x
  2. Step 2: Convert to fraction form
    30,494.96/45,714.74 = 13,846.02/x
  3. Step 3: Cross multiply
    30,494.96x = 45,714.74 × 13,846.02
  4. Step 4: Simplify right side
    30,494.96x = 632,967,204.33
  5. Step 5: Solve for x
    x = 632,967,204.33/30,494.96
  6. Step 6: Final answer
    x = 20,756.45

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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.