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Finding the Fourth Proportional to 59,075, 81,523.50 and 32,579

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Solution

The fourth proportional to 59,075, 81,523.50 and 32,579 is: 44,959.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,075 : 81,523.50 = 32,579 : x
  2. Step 2: Convert to fraction form
    59,075/81,523.50 = 32,579/x
  3. Step 3: Cross multiply
    59,075x = 81,523.50 × 32,579
  4. Step 4: Simplify right side
    59,075x = 2,655,954,106.50
  5. Step 5: Solve for x
    x = 2,655,954,106.50/59,075
  6. Step 6: Final answer
    x = 44,959.02

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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.