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Finding the Fourth Proportional to 82,733, 114,162.90 and 46,911.56

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Solution

The fourth proportional to 82,733, 114,162.90 and 46,911.56 is: 64,733.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,733 : 114,162.90 = 46,911.56 : x
  2. Step 2: Convert to fraction form
    82,733/114,162.90 = 46,911.56/x
  3. Step 3: Cross multiply
    82,733x = 114,162.90 × 46,911.56
  4. Step 4: Simplify right side
    82,733x = 5,355,559,733.12
  5. Step 5: Solve for x
    x = 5,355,559,733.12/82,733
  6. Step 6: Final answer
    x = 64,733.05

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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.