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Finding the Fourth Proportional to 20,075.09, 30,114.19 and 6,034.02

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Solution

The fourth proportional to 20,075.09, 30,114.19 and 6,034.02 is: 9,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,075.09 : 30,114.19 = 6,034.02 : x
  2. Step 2: Convert to fraction form
    20,075.09/30,114.19 = 6,034.02/x
  3. Step 3: Cross multiply
    20,075.09x = 30,114.19 × 6,034.02
  4. Step 4: Simplify right side
    20,075.09x = 181,709,624.74
  5. Step 5: Solve for x
    x = 181,709,624.74/20,075.09
  6. Step 6: Final answer
    x = 9,051.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.