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Finding the Fourth Proportional to 76,358.63, 114,498.81 and 40,354.44

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Solution

The fourth proportional to 76,358.63, 114,498.81 and 40,354.44 is: 60,510.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,358.63 : 114,498.81 = 40,354.44 : x
  2. Step 2: Convert to fraction form
    76,358.63/114,498.81 = 40,354.44/x
  3. Step 3: Cross multiply
    76,358.63x = 114,498.81 × 40,354.44
  4. Step 4: Simplify right side
    76,358.63x = 4,620,535,358.22
  5. Step 5: Solve for x
    x = 4,620,535,358.22/76,358.63
  6. Step 6: Final answer
    x = 60,510.98

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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.