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Finding the Fourth Proportional to 77,392.84, 116,076.30 and 35,259.88

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Solution

The fourth proportional to 77,392.84, 116,076.30 and 35,259.88 is: 52,883.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,392.84 : 116,076.30 = 35,259.88 : x
  2. Step 2: Convert to fraction form
    77,392.84/116,076.30 = 35,259.88/x
  3. Step 3: Cross multiply
    77,392.84x = 116,076.30 × 35,259.88
  4. Step 4: Simplify right side
    77,392.84x = 4,092,836,408.84
  5. Step 5: Solve for x
    x = 4,092,836,408.84/77,392.84
  6. Step 6: Final answer
    x = 52,883.92

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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.