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Finding the Fourth Proportional to 76,574.62, 105,682.47 and 43,040.62

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Solution

The fourth proportional to 76,574.62, 105,682.47 and 43,040.62 is: 59,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,574.62 : 105,682.47 = 43,040.62 : x
  2. Step 2: Convert to fraction form
    76,574.62/105,682.47 = 43,040.62/x
  3. Step 3: Cross multiply
    76,574.62x = 105,682.47 × 43,040.62
  4. Step 4: Simplify right side
    76,574.62x = 4,548,639,031.93
  5. Step 5: Solve for x
    x = 4,548,639,031.93/76,574.62
  6. Step 6: Final answer
    x = 59,401.39

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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.