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Finding the Fourth Proportional to 82,668.56, 114,082.88 and 46,860.98

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Solution

The fourth proportional to 82,668.56, 114,082.88 and 46,860.98 is: 64,668.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,668.56 : 114,082.88 = 46,860.98 : x
  2. Step 2: Convert to fraction form
    82,668.56/114,082.88 = 46,860.98/x
  3. Step 3: Cross multiply
    82,668.56x = 114,082.88 × 46,860.98
  4. Step 4: Simplify right side
    82,668.56x = 5,346,034,753.30
  5. Step 5: Solve for x
    x = 5,346,034,753.30/82,668.56
  6. Step 6: Final answer
    x = 64,668.30

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Why These Related Problems?

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