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Finding the Fourth Proportional to 82,585.32, 113,969.85 and 46,774.80

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Solution

The fourth proportional to 82,585.32, 113,969.85 and 46,774.80 is: 64,550.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,585.32 : 113,969.85 = 46,774.80 : x
  2. Step 2: Convert to fraction form
    82,585.32/113,969.85 = 46,774.80/x
  3. Step 3: Cross multiply
    82,585.32x = 113,969.85 × 46,774.80
  4. Step 4: Simplify right side
    82,585.32x = 5,330,916,939.78
  5. Step 5: Solve for x
    x = 5,330,916,939.78/82,585.32
  6. Step 6: Final answer
    x = 64,550.42

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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.