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Finding the Fourth Proportional to 30,141.08, 45,203.12 and 9,075.42

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Solution

The fourth proportional to 30,141.08, 45,203.12 and 9,075.42 is: 13,610.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,141.08 : 45,203.12 = 9,075.42 : x
  2. Step 2: Convert to fraction form
    30,141.08/45,203.12 = 9,075.42/x
  3. Step 3: Cross multiply
    30,141.08x = 45,203.12 × 9,075.42
  4. Step 4: Simplify right side
    30,141.08x = 410,237,299.31
  5. Step 5: Solve for x
    x = 410,237,299.31/30,141.08
  6. Step 6: Final answer
    x = 13,610.57

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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.