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Finding the Fourth Proportional to 75,463.44, 104,154 and 49,970.16

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Solution

The fourth proportional to 75,463.44, 104,154 and 49,970.16 is: 68,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,463.44 : 104,154 = 49,970.16 : x
  2. Step 2: Convert to fraction form
    75,463.44/104,154 = 49,970.16/x
  3. Step 3: Cross multiply
    75,463.44x = 104,154 × 49,970.16
  4. Step 4: Simplify right side
    75,463.44x = 5,204,592,044.64
  5. Step 5: Solve for x
    x = 5,204,592,044.64/75,463.44
  6. Step 6: Final answer
    x = 68,968.39

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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.