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Finding the Fourth Proportional to 88,012.72, 132,024.84 and 25,678

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Solution

The fourth proportional to 88,012.72, 132,024.84 and 25,678 is: 38,518.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,012.72 : 132,024.84 = 25,678 : x
  2. Step 2: Convert to fraction form
    88,012.72/132,024.84 = 25,678/x
  3. Step 3: Cross multiply
    88,012.72x = 132,024.84 × 25,678
  4. Step 4: Simplify right side
    88,012.72x = 3,390,133,841.52
  5. Step 5: Solve for x
    x = 3,390,133,841.52/88,012.72
  6. Step 6: Final answer
    x = 38,518.68

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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.