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Finding the Fourth Proportional to 82,830.90, 114,308.01 and 47,021.97

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Solution

The fourth proportional to 82,830.90, 114,308.01 and 47,021.97 is: 64,891.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,830.90 : 114,308.01 = 47,021.97 : x
  2. Step 2: Convert to fraction form
    82,830.90/114,308.01 = 47,021.97/x
  3. Step 3: Cross multiply
    82,830.90x = 114,308.01 × 47,021.97
  4. Step 4: Simplify right side
    82,830.90x = 5,374,987,816.98
  5. Step 5: Solve for x
    x = 5,374,987,816.98/82,830.90
  6. Step 6: Final answer
    x = 64,891.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.