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Finding the Fourth Proportional to 76,373.54, 114,560.20 and 43,078.49

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Solution

The fourth proportional to 76,373.54, 114,560.20 and 43,078.49 is: 64,617.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,373.54 : 114,560.20 = 43,078.49 : x
  2. Step 2: Convert to fraction form
    76,373.54/114,560.20 = 43,078.49/x
  3. Step 3: Cross multiply
    76,373.54x = 114,560.20 × 43,078.49
  4. Step 4: Simplify right side
    76,373.54x = 4,935,080,430.10
  5. Step 5: Solve for x
    x = 4,935,080,430.10/76,373.54
  6. Step 6: Final answer
    x = 64,617.67

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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.