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Finding the Fourth Proportional to 78,256.83, 117,371.61 and 36,133.32

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Solution

The fourth proportional to 78,256.83, 117,371.61 and 36,133.32 is: 54,193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,256.83 : 117,371.61 = 36,133.32 : x
  2. Step 2: Convert to fraction form
    78,256.83/117,371.61 = 36,133.32/x
  3. Step 3: Cross multiply
    78,256.83x = 117,371.61 × 36,133.32
  4. Step 4: Simplify right side
    78,256.83x = 4,241,025,943.05
  5. Step 5: Solve for x
    x = 4,241,025,943.05/78,256.83
  6. Step 6: Final answer
    x = 54,193.68

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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.