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Finding the Fourth Proportional to 77,347.84, 115,932.48 and 35,164.72

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Solution

The fourth proportional to 77,347.84, 115,932.48 and 35,164.72 is: 52,706.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,347.84 : 115,932.48 = 35,164.72 : x
  2. Step 2: Convert to fraction form
    77,347.84/115,932.48 = 35,164.72/x
  3. Step 3: Cross multiply
    77,347.84x = 115,932.48 × 35,164.72
  4. Step 4: Simplify right side
    77,347.84x = 4,076,733,198.11
  5. Step 5: Solve for x
    x = 4,076,733,198.11/77,347.84
  6. Step 6: Final answer
    x = 52,706.49

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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.