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Finding the Fourth Proportional to 74,968.84, 103,447 and 48,147.68

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Solution

The fourth proportional to 74,968.84, 103,447 and 48,147.68 is: 66,437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,968.84 : 103,447 = 48,147.68 : x
  2. Step 2: Convert to fraction form
    74,968.84/103,447 = 48,147.68/x
  3. Step 3: Cross multiply
    74,968.84x = 103,447 × 48,147.68
  4. Step 4: Simplify right side
    74,968.84x = 4,980,733,052.96
  5. Step 5: Solve for x
    x = 4,980,733,052.96/74,968.84
  6. Step 6: Final answer
    x = 66,437.38

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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.