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Finding the Fourth Proportional to 82,771.90, 114,217.31 and 46,465.03

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Solution

The fourth proportional to 82,771.90, 114,217.31 and 46,465.03 is: 64,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,771.90 : 114,217.31 = 46,465.03 : x
  2. Step 2: Convert to fraction form
    82,771.90/114,217.31 = 46,465.03/x
  3. Step 3: Cross multiply
    82,771.90x = 114,217.31 × 46,465.03
  4. Step 4: Simplify right side
    82,771.90x = 5,307,110,735.67
  5. Step 5: Solve for x
    x = 5,307,110,735.67/82,771.90
  6. Step 6: Final answer
    x = 64,117.30

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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.