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Finding the Fourth Proportional to 83,768.63, 115,600.70 and 46,042.88

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Solution

The fourth proportional to 83,768.63, 115,600.70 and 46,042.88 is: 63,539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,768.63 : 115,600.70 = 46,042.88 : x
  2. Step 2: Convert to fraction form
    83,768.63/115,600.70 = 46,042.88/x
  3. Step 3: Cross multiply
    83,768.63x = 115,600.70 × 46,042.88
  4. Step 4: Simplify right side
    83,768.63x = 5,322,588,695.12
  5. Step 5: Solve for x
    x = 5,322,588,695.12/83,768.63
  6. Step 6: Final answer
    x = 63,539.17

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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.