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Finding the Fourth Proportional to 75,532.34, 113,298.50 and 35,969.50

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Solution

The fourth proportional to 75,532.34, 113,298.50 and 35,969.50 is: 53,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,532.34 : 113,298.50 = 35,969.50 : x
  2. Step 2: Convert to fraction form
    75,532.34/113,298.50 = 35,969.50/x
  3. Step 3: Cross multiply
    75,532.34x = 113,298.50 × 35,969.50
  4. Step 4: Simplify right side
    75,532.34x = 4,075,290,395.75
  5. Step 5: Solve for x
    x = 4,075,290,395.75/75,532.34
  6. Step 6: Final answer
    x = 53,954.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.