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Finding the Fourth Proportional to 76,202.52, 114,271.72 and 28,809.64

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Solution

The fourth proportional to 76,202.52, 114,271.72 and 28,809.64 is: 43,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,202.52 : 114,271.72 = 28,809.64 : x
  2. Step 2: Convert to fraction form
    76,202.52/114,271.72 = 28,809.64/x
  3. Step 3: Cross multiply
    76,202.52x = 114,271.72 × 28,809.64
  4. Step 4: Simplify right side
    76,202.52x = 3,292,127,115.38
  5. Step 5: Solve for x
    x = 3,292,127,115.38/76,202.52
  6. Step 6: Final answer
    x = 43,202.34

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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.