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Finding the Fourth Proportional to 83,643.56, 115,400 and 53,446.56

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Solution

The fourth proportional to 83,643.56, 115,400 and 53,446.56 is: 73,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,643.56 : 115,400 = 53,446.56 : x
  2. Step 2: Convert to fraction form
    83,643.56/115,400 = 53,446.56/x
  3. Step 3: Cross multiply
    83,643.56x = 115,400 × 53,446.56
  4. Step 4: Simplify right side
    83,643.56x = 6,167,732,447
  5. Step 5: Solve for x
    x = 6,167,732,447/83,643.56
  6. Step 6: Final answer
    x = 73,738.28

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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.