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Finding the Fourth Proportional to 32,050.94, 48,075.02 and 9,866.57

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Solution

The fourth proportional to 32,050.94, 48,075.02 and 9,866.57 is: 14,799.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,050.94 : 48,075.02 = 9,866.57 : x
  2. Step 2: Convert to fraction form
    32,050.94/48,075.02 = 9,866.57/x
  3. Step 3: Cross multiply
    32,050.94x = 48,075.02 × 9,866.57
  4. Step 4: Simplify right side
    32,050.94x = 474,335,500.75
  5. Step 5: Solve for x
    x = 474,335,500.75/32,050.94
  6. Step 6: Final answer
    x = 14,799.43

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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.