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Finding the Fourth Proportional to 84,653.38, 116,822.99 and 46,416.43

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Solution

The fourth proportional to 84,653.38, 116,822.99 and 46,416.43 is: 64,055.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,653.38 : 116,822.99 = 46,416.43 : x
  2. Step 2: Convert to fraction form
    84,653.38/116,822.99 = 46,416.43/x
  3. Step 3: Cross multiply
    84,653.38x = 116,822.99 × 46,416.43
  4. Step 4: Simplify right side
    84,653.38x = 5,422,506,137.73
  5. Step 5: Solve for x
    x = 5,422,506,137.73/84,653.38
  6. Step 6: Final answer
    x = 64,055.40

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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.