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Finding the Fourth Proportional to 77,465.77, 116,160.28 and 27,538.38

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Solution

The fourth proportional to 77,465.77, 116,160.28 and 27,538.38 is: 41,293.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,465.77 : 116,160.28 = 27,538.38 : x
  2. Step 2: Convert to fraction form
    77,465.77/116,160.28 = 27,538.38/x
  3. Step 3: Cross multiply
    77,465.77x = 116,160.28 × 27,538.38
  4. Step 4: Simplify right side
    77,465.77x = 3,198,865,862.70
  5. Step 5: Solve for x
    x = 3,198,865,862.70/77,465.77
  6. Step 6: Final answer
    x = 41,293.93

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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.