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Finding the Fourth Proportional to 82,998.49, 114,536.67 and 46,697.17

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Solution

The fourth proportional to 82,998.49, 114,536.67 and 46,697.17 is: 64,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,998.49 : 114,536.67 = 46,697.17 : x
  2. Step 2: Convert to fraction form
    82,998.49/114,536.67 = 46,697.17/x
  3. Step 3: Cross multiply
    82,998.49x = 114,536.67 × 46,697.17
  4. Step 4: Simplify right side
    82,998.49x = 5,348,538,350.22
  5. Step 5: Solve for x
    x = 5,348,538,350.22/82,998.49
  6. Step 6: Final answer
    x = 64,441.39

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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.