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Finding the Fourth Proportional to 123,917.84, 185,883.80 and 35,164.32

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Solution

The fourth proportional to 123,917.84, 185,883.80 and 35,164.32 is: 52,748.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,917.84 : 185,883.80 = 35,164.32 : x
  2. Step 2: Convert to fraction form
    123,917.84/185,883.80 = 35,164.32/x
  3. Step 3: Cross multiply
    123,917.84x = 185,883.80 × 35,164.32
  4. Step 4: Simplify right side
    123,917.84x = 6,536,477,426.02
  5. Step 5: Solve for x
    x = 6,536,477,426.02/123,917.84
  6. Step 6: Final answer
    x = 52,748.48

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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.