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Finding the Fourth Proportional to 78,514, 117,742.20 and 25,907.92

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Solution

The fourth proportional to 78,514, 117,742.20 and 25,907.92 is: 38,852.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,514 : 117,742.20 = 25,907.92 : x
  2. Step 2: Convert to fraction form
    78,514/117,742.20 = 25,907.92/x
  3. Step 3: Cross multiply
    78,514x = 117,742.20 × 25,907.92
  4. Step 4: Simplify right side
    78,514x = 3,050,455,498.22
  5. Step 5: Solve for x
    x = 3,050,455,498.22/78,514
  6. Step 6: Final answer
    x = 38,852.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.