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Finding the Fourth Proportional to 78,265.94, 117,308.90 and 33,848.06

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Solution

The fourth proportional to 78,265.94, 117,308.90 and 33,848.06 is: 50,733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,265.94 : 117,308.90 = 33,848.06 : x
  2. Step 2: Convert to fraction form
    78,265.94/117,308.90 = 33,848.06/x
  3. Step 3: Cross multiply
    78,265.94x = 117,308.90 × 33,848.06
  4. Step 4: Simplify right side
    78,265.94x = 3,970,678,183.81
  5. Step 5: Solve for x
    x = 3,970,678,183.81/78,265.94
  6. Step 6: Final answer
    x = 50,733.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.