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Finding the Fourth Proportional to 30,146.85, 45,224.73 and 10,420.11

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Solution

The fourth proportional to 30,146.85, 45,224.73 and 10,420.11 is: 15,631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,146.85 : 45,224.73 = 10,420.11 : x
  2. Step 2: Convert to fraction form
    30,146.85/45,224.73 = 10,420.11/x
  3. Step 3: Cross multiply
    30,146.85x = 45,224.73 × 10,420.11
  4. Step 4: Simplify right side
    30,146.85x = 471,246,661.32
  5. Step 5: Solve for x
    x = 471,246,661.32/30,146.85
  6. Step 6: Final answer
    x = 15,631.70

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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.