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Finding the Fourth Proportional to 82,329.32, 113,612.99 and 46,518.57

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Solution

The fourth proportional to 82,329.32, 113,612.99 and 46,518.57 is: 64,194.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,329.32 : 113,612.99 = 46,518.57 : x
  2. Step 2: Convert to fraction form
    82,329.32/113,612.99 = 46,518.57/x
  3. Step 3: Cross multiply
    82,329.32x = 113,612.99 × 46,518.57
  4. Step 4: Simplify right side
    82,329.32x = 5,285,113,595.63
  5. Step 5: Solve for x
    x = 5,285,113,595.63/82,329.32
  6. Step 6: Final answer
    x = 64,194.79

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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.