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Finding the Fourth Proportional to 82,580.81, 113,963.63 and 46,770.30

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Solution

The fourth proportional to 82,580.81, 113,963.63 and 46,770.30 is: 64,544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,580.81 : 113,963.63 = 46,770.30 : x
  2. Step 2: Convert to fraction form
    82,580.81/113,963.63 = 46,770.30/x
  3. Step 3: Cross multiply
    82,580.81x = 113,963.63 × 46,770.30
  4. Step 4: Simplify right side
    82,580.81x = 5,330,112,930.34
  5. Step 5: Solve for x
    x = 5,330,112,930.34/82,580.81
  6. Step 6: Final answer
    x = 64,544.21

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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.