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Finding the Fourth Proportional to 78,031.16, 107,682.20 and 42,220.38

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Solution

The fourth proportional to 78,031.16, 107,682.20 and 42,220.38 is: 58,263.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,031.16 : 107,682.20 = 42,220.38 : x
  2. Step 2: Convert to fraction form
    78,031.16/107,682.20 = 42,220.38/x
  3. Step 3: Cross multiply
    78,031.16x = 107,682.20 × 42,220.38
  4. Step 4: Simplify right side
    78,031.16x = 4,546,383,403.24
  5. Step 5: Solve for x
    x = 4,546,383,403.24/78,031.16
  6. Step 6: Final answer
    x = 58,263.69

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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.