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Finding the Fourth Proportional to 84,570.38, 116,710.97 and 46,844.63

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Solution

The fourth proportional to 84,570.38, 116,710.97 and 46,844.63 is: 64,647.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,570.38 : 116,710.97 = 46,844.63 : x
  2. Step 2: Convert to fraction form
    84,570.38/116,710.97 = 46,844.63/x
  3. Step 3: Cross multiply
    84,570.38x = 116,710.97 × 46,844.63
  4. Step 4: Simplify right side
    84,570.38x = 5,467,281,388.81
  5. Step 5: Solve for x
    x = 5,467,281,388.81/84,570.38
  6. Step 6: Final answer
    x = 64,647.71

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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.