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Finding the Fourth Proportional to 30,094.53, 45,140.45 and 14,288.01

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Solution

The fourth proportional to 30,094.53, 45,140.45 and 14,288.01 is: 21,431.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,094.53 : 45,140.45 = 14,288.01 : x
  2. Step 2: Convert to fraction form
    30,094.53/45,140.45 = 14,288.01/x
  3. Step 3: Cross multiply
    30,094.53x = 45,140.45 × 14,288.01
  4. Step 4: Simplify right side
    30,094.53x = 644,967,129.56
  5. Step 5: Solve for x
    x = 644,967,129.56/30,094.53
  6. Step 6: Final answer
    x = 21,431.37

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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.