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Finding the Fourth Proportional to 78,031.44, 107,683.26 and 44,047.08

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Solution

The fourth proportional to 78,031.44, 107,683.26 and 44,047.08 is: 60,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,031.44 : 107,683.26 = 44,047.08 : x
  2. Step 2: Convert to fraction form
    78,031.44/107,683.26 = 44,047.08/x
  3. Step 3: Cross multiply
    78,031.44x = 107,683.26 × 44,047.08
  4. Step 4: Simplify right side
    78,031.44x = 4,743,133,167.88
  5. Step 5: Solve for x
    x = 4,743,133,167.88/78,031.44
  6. Step 6: Final answer
    x = 60,784.90

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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.