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Finding the Fourth Proportional to 78,207.36, 107,926.26 and 42,397.36

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Solution

The fourth proportional to 78,207.36, 107,926.26 and 42,397.36 is: 58,508.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,207.36 : 107,926.26 = 42,397.36 : x
  2. Step 2: Convert to fraction form
    78,207.36/107,926.26 = 42,397.36/x
  3. Step 3: Cross multiply
    78,207.36x = 107,926.26 × 42,397.36
  4. Step 4: Simplify right side
    78,207.36x = 4,575,788,498.67
  5. Step 5: Solve for x
    x = 4,575,788,498.67/78,207.36
  6. Step 6: Final answer
    x = 58,508.41

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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.