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Finding the Fourth Proportional to 82,462.62, 113,798.44 and 46,651.90

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Solution

The fourth proportional to 82,462.62, 113,798.44 and 46,651.90 is: 64,379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,462.62 : 113,798.44 = 46,651.90 : x
  2. Step 2: Convert to fraction form
    82,462.62/113,798.44 = 46,651.90/x
  3. Step 3: Cross multiply
    82,462.62x = 113,798.44 × 46,651.90
  4. Step 4: Simplify right side
    82,462.62x = 5,308,913,443.04
  5. Step 5: Solve for x
    x = 5,308,913,443.04/82,462.62
  6. Step 6: Final answer
    x = 64,379.64

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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.