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Finding the Fourth Proportional to 82,668.64, 114,091.63 and 46,854.80

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Solution

The fourth proportional to 82,668.64, 114,091.63 and 46,854.80 is: 64,664.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,668.64 : 114,091.63 = 46,854.80 : x
  2. Step 2: Convert to fraction form
    82,668.64/114,091.63 = 46,854.80/x
  3. Step 3: Cross multiply
    82,668.64x = 114,091.63 × 46,854.80
  4. Step 4: Simplify right side
    82,668.64x = 5,345,740,505.32
  5. Step 5: Solve for x
    x = 5,345,740,505.32/82,668.64
  6. Step 6: Final answer
    x = 64,664.67

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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.