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Finding the Fourth Proportional to 82,917, 114,428.55 and 47,113.08

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Solution

The fourth proportional to 82,917, 114,428.55 and 47,113.08 is: 65,017.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,917 : 114,428.55 = 47,113.08 : x
  2. Step 2: Convert to fraction form
    82,917/114,428.55 = 47,113.08/x
  3. Step 3: Cross multiply
    82,917x = 114,428.55 × 47,113.08
  4. Step 4: Simplify right side
    82,917x = 5,391,081,430.43
  5. Step 5: Solve for x
    x = 5,391,081,430.43/82,917
  6. Step 6: Final answer
    x = 65,017.81

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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.