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Finding the Fourth Proportional to 84,633.84, 116,782.40 and 46,908

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Solution

The fourth proportional to 84,633.84, 116,782.40 and 46,908 is: 64,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,633.84 : 116,782.40 = 46,908 : x
  2. Step 2: Convert to fraction form
    84,633.84/116,782.40 = 46,908/x
  3. Step 3: Cross multiply
    84,633.84x = 116,782.40 × 46,908
  4. Step 4: Simplify right side
    84,633.84x = 5,478,028,819.20
  5. Step 5: Solve for x
    x = 5,478,028,819.20/84,633.84
  6. Step 6: Final answer
    x = 64,726.22

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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.