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Finding the Fourth Proportional to 34,075.81, 47,029.64 and 20,464.77

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Solution

The fourth proportional to 34,075.81, 47,029.64 and 20,464.77 is: 28,244.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,075.81 : 47,029.64 = 20,464.77 : x
  2. Step 2: Convert to fraction form
    34,075.81/47,029.64 = 20,464.77/x
  3. Step 3: Cross multiply
    34,075.81x = 47,029.64 × 20,464.77
  4. Step 4: Simplify right side
    34,075.81x = 962,450,765.78
  5. Step 5: Solve for x
    x = 962,450,765.78/34,075.81
  6. Step 6: Final answer
    x = 28,244.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.