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Finding the Fourth Proportional to 78,049.44, 116,955.90 and 51,659.64

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Solution

The fourth proportional to 78,049.44, 116,955.90 and 51,659.64 is: 77,411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,049.44 : 116,955.90 = 51,659.64 : x
  2. Step 2: Convert to fraction form
    78,049.44/116,955.90 = 51,659.64/x
  3. Step 3: Cross multiply
    78,049.44x = 116,955.90 × 51,659.64
  4. Step 4: Simplify right side
    78,049.44x = 6,041,899,689.88
  5. Step 5: Solve for x
    x = 6,041,899,689.88/78,049.44
  6. Step 6: Final answer
    x = 77,411.19

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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.