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Finding the Fourth Proportional to 77,005.41, 106,266.33 and 43,014.41

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Solution

The fourth proportional to 77,005.41, 106,266.33 and 43,014.41 is: 59,359.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,005.41 : 106,266.33 = 43,014.41 : x
  2. Step 2: Convert to fraction form
    77,005.41/106,266.33 = 43,014.41/x
  3. Step 3: Cross multiply
    77,005.41x = 106,266.33 × 43,014.41
  4. Step 4: Simplify right side
    77,005.41x = 4,570,982,956.48
  5. Step 5: Solve for x
    x = 4,570,982,956.48/77,005.41
  6. Step 6: Final answer
    x = 59,359.24

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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.