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Finding the Fourth Proportional to 84,537.18, 116,656.65 and 46,809

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Solution

The fourth proportional to 84,537.18, 116,656.65 and 46,809 is: 64,593.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,537.18 : 116,656.65 = 46,809 : x
  2. Step 2: Convert to fraction form
    84,537.18/116,656.65 = 46,809/x
  3. Step 3: Cross multiply
    84,537.18x = 116,656.65 × 46,809
  4. Step 4: Simplify right side
    84,537.18x = 5,460,581,129.85
  5. Step 5: Solve for x
    x = 5,460,581,129.85/84,537.18
  6. Step 6: Final answer
    x = 64,593.84

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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.