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Finding the Fourth Proportional to 82,101.90, 113,291.00 and 46,289.78

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Solution

The fourth proportional to 82,101.90, 113,291.00 and 46,289.78 is: 63,874.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,101.90 : 113,291.00 = 46,289.78 : x
  2. Step 2: Convert to fraction form
    82,101.90/113,291.00 = 46,289.78/x
  3. Step 3: Cross multiply
    82,101.90x = 113,291.00 × 46,289.78
  4. Step 4: Simplify right side
    82,101.90x = 5,244,215,526.88
  5. Step 5: Solve for x
    x = 5,244,215,526.88/82,101.90
  6. Step 6: Final answer
    x = 63,874.47

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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.