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Finding the Fourth Proportional to 76,197.56, 114,296.62 and 25,595.14

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Solution

The fourth proportional to 76,197.56, 114,296.62 and 25,595.14 is: 38,392.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,197.56 : 114,296.62 = 25,595.14 : x
  2. Step 2: Convert to fraction form
    76,197.56/114,296.62 = 25,595.14/x
  3. Step 3: Cross multiply
    76,197.56x = 114,296.62 × 25,595.14
  4. Step 4: Simplify right side
    76,197.56x = 2,925,438,069.31
  5. Step 5: Solve for x
    x = 2,925,438,069.31/76,197.56
  6. Step 6: Final answer
    x = 38,392.80

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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.