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Finding the Fourth Proportional to 34,075, 47,019.40 and 18,963.88

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Solution

The fourth proportional to 34,075, 47,019.40 and 18,963.88 is: 26,167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,075 : 47,019.40 = 18,963.88 : x
  2. Step 2: Convert to fraction form
    34,075/47,019.40 = 18,963.88/x
  3. Step 3: Cross multiply
    34,075x = 47,019.40 × 18,963.88
  4. Step 4: Simplify right side
    34,075x = 891,670,259.27
  5. Step 5: Solve for x
    x = 891,670,259.27/34,075
  6. Step 6: Final answer
    x = 26,167.87

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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.