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Finding the Fourth Proportional to 30,146.96, 45,235.72 and 14,349.05

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Solution

The fourth proportional to 30,146.96, 45,235.72 and 14,349.05 is: 21,530.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,146.96 : 45,235.72 = 14,349.05 : x
  2. Step 2: Convert to fraction form
    30,146.96/45,235.72 = 14,349.05/x
  3. Step 3: Cross multiply
    30,146.96x = 45,235.72 × 14,349.05
  4. Step 4: Simplify right side
    30,146.96x = 649,089,577.82
  5. Step 5: Solve for x
    x = 649,089,577.82/30,146.96
  6. Step 6: Final answer
    x = 21,530.85

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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.