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Finding the Fourth Proportional to 77,476.80, 116,277.47 and 40,047.84

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Solution

The fourth proportional to 77,476.80, 116,277.47 and 40,047.84 is: 60,103.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,476.80 : 116,277.47 = 40,047.84 : x
  2. Step 2: Convert to fraction form
    77,476.80/116,277.47 = 40,047.84/x
  3. Step 3: Cross multiply
    77,476.80x = 116,277.47 × 40,047.84
  4. Step 4: Simplify right side
    77,476.80x = 4,656,661,514.16
  5. Step 5: Solve for x
    x = 4,656,661,514.16/77,476.80
  6. Step 6: Final answer
    x = 60,103.95

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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.