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Finding the Fourth Proportional to 82,329.80, 113,613.65 and 46,519.06

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Solution

The fourth proportional to 82,329.80, 113,613.65 and 46,519.06 is: 64,195.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,329.80 : 113,613.65 = 46,519.06 : x
  2. Step 2: Convert to fraction form
    82,329.80/113,613.65 = 46,519.06/x
  3. Step 3: Cross multiply
    82,329.80x = 113,613.65 × 46,519.06
  4. Step 4: Simplify right side
    82,329.80x = 5,285,199,400.51
  5. Step 5: Solve for x
    x = 5,285,199,400.51/82,329.80
  6. Step 6: Final answer
    x = 64,195.46

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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.