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Finding the Fourth Proportional to 77,732.91, 116,603.01 and 25,146.50

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Solution

The fourth proportional to 77,732.91, 116,603.01 and 25,146.50 is: 37,720.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,732.91 : 116,603.01 = 25,146.50 : x
  2. Step 2: Convert to fraction form
    77,732.91/116,603.01 = 25,146.50/x
  3. Step 3: Cross multiply
    77,732.91x = 116,603.01 × 25,146.50
  4. Step 4: Simplify right side
    77,732.91x = 2,932,157,007.95
  5. Step 5: Solve for x
    x = 2,932,157,007.95/77,732.91
  6. Step 6: Final answer
    x = 37,720.92

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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.