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Finding the Fourth Proportional to 52,075, 71,898.06 and 32,237.56

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Solution

The fourth proportional to 52,075, 71,898.06 and 32,237.56 is: 44,509.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,075 : 71,898.06 = 32,237.56 : x
  2. Step 2: Convert to fraction form
    52,075/71,898.06 = 32,237.56/x
  3. Step 3: Cross multiply
    52,075x = 71,898.06 × 32,237.56
  4. Step 4: Simplify right side
    52,075x = 2,317,818,023.13
  5. Step 5: Solve for x
    x = 2,317,818,023.13/52,075
  6. Step 6: Final answer
    x = 44,509.23

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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.