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Finding the Fourth Proportional to 76,128.99, 114,157.36 and 22,800.34

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Solution

The fourth proportional to 76,128.99, 114,157.36 and 22,800.34 is: 34,189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,128.99 : 114,157.36 = 22,800.34 : x
  2. Step 2: Convert to fraction form
    76,128.99/114,157.36 = 22,800.34/x
  3. Step 3: Cross multiply
    76,128.99x = 114,157.36 × 22,800.34
  4. Step 4: Simplify right side
    76,128.99x = 2,602,826,621.50
  5. Step 5: Solve for x
    x = 2,602,826,621.50/76,128.99
  6. Step 6: Final answer
    x = 34,189.69

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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.