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Finding the Fourth Proportional to 117,797.94, 176,659.47 and 38,897.46

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Solution

The fourth proportional to 117,797.94, 176,659.47 and 38,897.46 is: 58,333.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,797.94 : 176,659.47 = 38,897.46 : x
  2. Step 2: Convert to fraction form
    117,797.94/176,659.47 = 38,897.46/x
  3. Step 3: Cross multiply
    117,797.94x = 176,659.47 × 38,897.46
  4. Step 4: Simplify right side
    117,797.94x = 6,871,604,667.95
  5. Step 5: Solve for x
    x = 6,871,604,667.95/117,797.94
  6. Step 6: Final answer
    x = 58,333.83

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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.