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Finding the Fourth Proportional to 84,378.72, 116,449.20 and 46,656.48

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Solution

The fourth proportional to 84,378.72, 116,449.20 and 46,656.48 is: 64,389.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,378.72 : 116,449.20 = 46,656.48 : x
  2. Step 2: Convert to fraction form
    84,378.72/116,449.20 = 46,656.48/x
  3. Step 3: Cross multiply
    84,378.72x = 116,449.20 × 46,656.48
  4. Step 4: Simplify right side
    84,378.72x = 5,433,109,770.82
  5. Step 5: Solve for x
    x = 5,433,109,770.82/84,378.72
  6. Step 6: Final answer
    x = 64,389.57

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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.