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Finding the Fourth Proportional to 76,372.64, 114,501.36 and 50,084

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Solution

The fourth proportional to 76,372.64, 114,501.36 and 50,084 is: 75,088.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,372.64 : 114,501.36 = 50,084 : x
  2. Step 2: Convert to fraction form
    76,372.64/114,501.36 = 50,084/x
  3. Step 3: Cross multiply
    76,372.64x = 114,501.36 × 50,084
  4. Step 4: Simplify right side
    76,372.64x = 5,734,686,114.24
  5. Step 5: Solve for x
    x = 5,734,686,114.24/76,372.64
  6. Step 6: Final answer
    x = 75,088.23

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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.