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Finding the Fourth Proportional to 82,030.38, 113,201.94 and 44,304.63

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Solution

The fourth proportional to 82,030.38, 113,201.94 and 44,304.63 is: 61,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,030.38 : 113,201.94 = 44,304.63 : x
  2. Step 2: Convert to fraction form
    82,030.38/113,201.94 = 44,304.63/x
  3. Step 3: Cross multiply
    82,030.38x = 113,201.94 × 44,304.63
  4. Step 4: Simplify right side
    82,030.38x = 5,015,370,066.98
  5. Step 5: Solve for x
    x = 5,015,370,066.98/82,030.38
  6. Step 6: Final answer
    x = 61,140.40

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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.