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Finding the Fourth Proportional to 82,708.25, 114,137.38 and 46,898.25

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Solution

The fourth proportional to 82,708.25, 114,137.38 and 46,898.25 is: 64,719.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,708.25 : 114,137.38 = 46,898.25 : x
  2. Step 2: Convert to fraction form
    82,708.25/114,137.38 = 46,898.25/x
  3. Step 3: Cross multiply
    82,708.25x = 114,137.38 × 46,898.25
  4. Step 4: Simplify right side
    82,708.25x = 5,352,843,381.59
  5. Step 5: Solve for x
    x = 5,352,843,381.59/82,708.25
  6. Step 6: Final answer
    x = 64,719.58

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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.