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Finding the Fourth Proportional to 76,196.52, 114,262.72 and 28,803.64

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Solution

The fourth proportional to 76,196.52, 114,262.72 and 28,803.64 is: 43,193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,196.52 : 114,262.72 = 28,803.64 : x
  2. Step 2: Convert to fraction form
    76,196.52/114,262.72 = 28,803.64/x
  3. Step 3: Cross multiply
    76,196.52x = 114,262.72 × 28,803.64
  4. Step 4: Simplify right side
    76,196.52x = 3,291,182,252.30
  5. Step 5: Solve for x
    x = 3,291,182,252.30/76,196.52
  6. Step 6: Final answer
    x = 43,193.34

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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.