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Finding the Fourth Proportional to 32,577.64, 48,874.42 and 10,391.02

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Solution

The fourth proportional to 32,577.64, 48,874.42 and 10,391.02 is: 15,589.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,577.64 : 48,874.42 = 10,391.02 : x
  2. Step 2: Convert to fraction form
    32,577.64/48,874.42 = 10,391.02/x
  3. Step 3: Cross multiply
    32,577.64x = 48,874.42 × 10,391.02
  4. Step 4: Simplify right side
    32,577.64x = 507,855,075.71
  5. Step 5: Solve for x
    x = 507,855,075.71/32,577.64
  6. Step 6: Final answer
    x = 15,589.07

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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.