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Finding the Fourth Proportional to 82,748.24, 114,189.16 and 45,022.64

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Solution

The fourth proportional to 82,748.24, 114,189.16 and 45,022.64 is: 62,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,748.24 : 114,189.16 = 45,022.64 : x
  2. Step 2: Convert to fraction form
    82,748.24/114,189.16 = 45,022.64/x
  3. Step 3: Cross multiply
    82,748.24x = 114,189.16 × 45,022.64
  4. Step 4: Simplify right side
    82,748.24x = 5,141,097,442.58
  5. Step 5: Solve for x
    x = 5,141,097,442.58/82,748.24
  6. Step 6: Final answer
    x = 62,129.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.