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Finding the Fourth Proportional to 78,596.88, 117,909.90 and 26,006.82

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Solution

The fourth proportional to 78,596.88, 117,909.90 and 26,006.82 is: 39,015.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,596.88 : 117,909.90 = 26,006.82 : x
  2. Step 2: Convert to fraction form
    78,596.88/117,909.90 = 26,006.82/x
  3. Step 3: Cross multiply
    78,596.88x = 117,909.90 × 26,006.82
  4. Step 4: Simplify right side
    78,596.88x = 3,066,461,103.36
  5. Step 5: Solve for x
    x = 3,066,461,103.36/78,596.88
  6. Step 6: Final answer
    x = 39,015.05

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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.