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Finding the Fourth Proportional to 78,452.30, 117,675.72 and 25,143.50

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Solution

The fourth proportional to 78,452.30, 117,675.72 and 25,143.50 is: 37,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,452.30 : 117,675.72 = 25,143.50 : x
  2. Step 2: Convert to fraction form
    78,452.30/117,675.72 = 25,143.50/x
  3. Step 3: Cross multiply
    78,452.30x = 117,675.72 × 25,143.50
  4. Step 4: Simplify right side
    78,452.30x = 2,958,779,760.01
  5. Step 5: Solve for x
    x = 2,958,779,760.01/78,452.30
  6. Step 6: Final answer
    x = 37,714.38

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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.