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Finding the Fourth Proportional to 83,682.63, 115,482.85 and 45,956.88

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Solution

The fourth proportional to 83,682.63, 115,482.85 and 45,956.88 is: 63,420.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,682.63 : 115,482.85 = 45,956.88 : x
  2. Step 2: Convert to fraction form
    83,682.63/115,482.85 = 45,956.88/x
  3. Step 3: Cross multiply
    83,682.63x = 115,482.85 × 45,956.88
  4. Step 4: Simplify right side
    83,682.63x = 5,307,231,364.62
  5. Step 5: Solve for x
    x = 5,307,231,364.62/83,682.63
  6. Step 6: Final answer
    x = 63,420.94

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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.