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Finding the Fourth Proportional to 50,977.68, 70,283.88 and 32,082

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Solution

The fourth proportional to 50,977.68, 70,283.88 and 32,082 is: 44,232.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,977.68 : 70,283.88 = 32,082 : x
  2. Step 2: Convert to fraction form
    50,977.68/70,283.88 = 32,082/x
  3. Step 3: Cross multiply
    50,977.68x = 70,283.88 × 32,082
  4. Step 4: Simplify right side
    50,977.68x = 2,254,847,438.16
  5. Step 5: Solve for x
    x = 2,254,847,438.16/50,977.68
  6. Step 6: Final answer
    x = 44,232.05

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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.