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Finding the Fourth Proportional to 84,638.12, 116,804.58 and 46,913

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Solution

The fourth proportional to 84,638.12, 116,804.58 and 46,913 is: 64,742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,638.12 : 116,804.58 = 46,913 : x
  2. Step 2: Convert to fraction form
    84,638.12/116,804.58 = 46,913/x
  3. Step 3: Cross multiply
    84,638.12x = 116,804.58 × 46,913
  4. Step 4: Simplify right side
    84,638.12x = 5,479,653,261.54
  5. Step 5: Solve for x
    x = 5,479,653,261.54/84,638.12
  6. Step 6: Final answer
    x = 64,742.14

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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.