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Finding the Fourth Proportional to 82,446.30, 113,774.04 and 46,636.02

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Solution

The fourth proportional to 82,446.30, 113,774.04 and 46,636.02 is: 64,356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,446.30 : 113,774.04 = 46,636.02 : x
  2. Step 2: Convert to fraction form
    82,446.30/113,774.04 = 46,636.02/x
  3. Step 3: Cross multiply
    82,446.30x = 113,774.04 × 46,636.02
  4. Step 4: Simplify right side
    82,446.30x = 5,305,968,404.92
  5. Step 5: Solve for x
    x = 5,305,968,404.92/82,446.30
  6. Step 6: Final answer
    x = 64,356.66

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