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Finding the Fourth Proportional to 52,962.24, 73,100.16 and 35,994.24

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Solution

The fourth proportional to 52,962.24, 73,100.16 and 35,994.24 is: 49,680.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,962.24 : 73,100.16 = 35,994.24 : x
  2. Step 2: Convert to fraction form
    52,962.24/73,100.16 = 35,994.24/x
  3. Step 3: Cross multiply
    52,962.24x = 73,100.16 × 35,994.24
  4. Step 4: Simplify right side
    52,962.24x = 2,631,184,703.08
  5. Step 5: Solve for x
    x = 2,631,184,703.08/52,962.24
  6. Step 6: Final answer
    x = 49,680.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.