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Finding the Fourth Proportional to 76,497.85, 114,707.17 and 34,341.64

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Solution

The fourth proportional to 76,497.85, 114,707.17 and 34,341.64 is: 51,494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,497.85 : 114,707.17 = 34,341.64 : x
  2. Step 2: Convert to fraction form
    76,497.85/114,707.17 = 34,341.64/x
  3. Step 3: Cross multiply
    76,497.85x = 114,707.17 × 34,341.64
  4. Step 4: Simplify right side
    76,497.85x = 3,939,232,093.72
  5. Step 5: Solve for x
    x = 3,939,232,093.72/76,497.85
  6. Step 6: Final answer
    x = 51,494.68

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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.