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Finding the Fourth Proportional to 82,671.82, 114,086.55 and 44,946.07

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Solution

The fourth proportional to 82,671.82, 114,086.55 and 44,946.07 is: 62,025.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,671.82 : 114,086.55 = 44,946.07 : x
  2. Step 2: Convert to fraction form
    82,671.82/114,086.55 = 44,946.07/x
  3. Step 3: Cross multiply
    82,671.82x = 114,086.55 × 44,946.07
  4. Step 4: Simplify right side
    82,671.82x = 5,127,742,062.36
  5. Step 5: Solve for x
    x = 5,127,742,062.36/82,671.82
  6. Step 6: Final answer
    x = 62,025.27

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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.