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Finding the Fourth Proportional to 34,075.98, 47,029.80 and 20,464.92

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Solution

The fourth proportional to 34,075.98, 47,029.80 and 20,464.92 is: 28,244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,075.98 : 47,029.80 = 20,464.92 : x
  2. Step 2: Convert to fraction form
    34,075.98/47,029.80 = 20,464.92/x
  3. Step 3: Cross multiply
    34,075.98x = 47,029.80 × 20,464.92
  4. Step 4: Simplify right side
    34,075.98x = 962,461,094.62
  5. Step 5: Solve for x
    x = 962,461,094.62/34,075.98
  6. Step 6: Final answer
    x = 28,244.56

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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.