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Finding the Fourth Proportional to 75,242.66, 103,834.44 and 41,252.63

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Solution

The fourth proportional to 75,242.66, 103,834.44 and 41,252.63 is: 56,928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,242.66 : 103,834.44 = 41,252.63 : x
  2. Step 2: Convert to fraction form
    75,242.66/103,834.44 = 41,252.63/x
  3. Step 3: Cross multiply
    75,242.66x = 103,834.44 × 41,252.63
  4. Step 4: Simplify right side
    75,242.66x = 4,283,443,215.41
  5. Step 5: Solve for x
    x = 4,283,443,215.41/75,242.66
  6. Step 6: Final answer
    x = 56,928.39

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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.