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Finding the Fourth Proportional to 84,542.18, 116,663.54 and 46,814

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Solution

The fourth proportional to 84,542.18, 116,663.54 and 46,814 is: 64,600.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,542.18 : 116,663.54 = 46,814 : x
  2. Step 2: Convert to fraction form
    84,542.18/116,663.54 = 46,814/x
  3. Step 3: Cross multiply
    84,542.18x = 116,663.54 × 46,814
  4. Step 4: Simplify right side
    84,542.18x = 5,461,486,961.56
  5. Step 5: Solve for x
    x = 5,461,486,961.56/84,542.18
  6. Step 6: Final answer
    x = 64,600.73

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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.