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Finding the Fourth Proportional to 82,992.52, 114,529.44 and 45,266.50

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Solution

The fourth proportional to 82,992.52, 114,529.44 and 45,266.50 is: 62,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,992.52 : 114,529.44 = 45,266.50 : x
  2. Step 2: Convert to fraction form
    82,992.52/114,529.44 = 45,266.50/x
  3. Step 3: Cross multiply
    82,992.52x = 114,529.44 × 45,266.50
  4. Step 4: Simplify right side
    82,992.52x = 5,184,346,895.76
  5. Step 5: Solve for x
    x = 5,184,346,895.76/82,992.52
  6. Step 6: Final answer
    x = 62,467.64

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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.