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Finding the Fourth Proportional to 70,326.80, 105,541.02 and 27,638.58

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Solution

The fourth proportional to 70,326.80, 105,541.02 and 27,638.58 is: 41,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,326.80 : 105,541.02 = 27,638.58 : x
  2. Step 2: Convert to fraction form
    70,326.80/105,541.02 = 27,638.58/x
  3. Step 3: Cross multiply
    70,326.80x = 105,541.02 × 27,638.58
  4. Step 4: Simplify right side
    70,326.80x = 2,917,003,924.55
  5. Step 5: Solve for x
    x = 2,917,003,924.55/70,326.80
  6. Step 6: Final answer
    x = 41,477.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.