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Finding the Fourth Proportional to 76,373.64, 114,502.86 and 50,085

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Solution

The fourth proportional to 76,373.64, 114,502.86 and 50,085 is: 75,089.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,373.64 : 114,502.86 = 50,085 : x
  2. Step 2: Convert to fraction form
    76,373.64/114,502.86 = 50,085/x
  3. Step 3: Cross multiply
    76,373.64x = 114,502.86 × 50,085
  4. Step 4: Simplify right side
    76,373.64x = 5,734,875,743.10
  5. Step 5: Solve for x
    x = 5,734,875,743.10/76,373.64
  6. Step 6: Final answer
    x = 75,089.73

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Why These Related Problems?

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