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Finding the Fourth Proportional to 78,116.64, 117,240.48 and 33,777.24

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Solution

The fourth proportional to 78,116.64, 117,240.48 and 33,777.24 is: 50,694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,116.64 : 117,240.48 = 33,777.24 : x
  2. Step 2: Convert to fraction form
    78,116.64/117,240.48 = 33,777.24/x
  3. Step 3: Cross multiply
    78,116.64x = 117,240.48 × 33,777.24
  4. Step 4: Simplify right side
    78,116.64x = 3,960,059,830.68
  5. Step 5: Solve for x
    x = 3,960,059,830.68/78,116.64
  6. Step 6: Final answer
    x = 50,694.19

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1.5x scale

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.