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Finding the Fourth Proportional to 82,668.14, 114,090.94 and 46,854.30

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Solution

The fourth proportional to 82,668.14, 114,090.94 and 46,854.30 is: 64,663.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,668.14 : 114,090.94 = 46,854.30 : x
  2. Step 2: Convert to fraction form
    82,668.14/114,090.94 = 46,854.30/x
  3. Step 3: Cross multiply
    82,668.14x = 114,090.94 × 46,854.30
  4. Step 4: Simplify right side
    82,668.14x = 5,345,651,130.04
  5. Step 5: Solve for x
    x = 5,345,651,130.04/82,668.14
  6. Step 6: Final answer
    x = 64,663.98

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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.