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Finding the Fourth Proportional to 99,810.84, 149,714.32 and 33,255.84

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Solution

The fourth proportional to 99,810.84, 149,714.32 and 33,255.84 is: 49,883.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,810.84 : 149,714.32 = 33,255.84 : x
  2. Step 2: Convert to fraction form
    99,810.84/149,714.32 = 33,255.84/x
  3. Step 3: Cross multiply
    99,810.84x = 149,714.32 × 33,255.84
  4. Step 4: Simplify right side
    99,810.84x = 4,978,875,471.63
  5. Step 5: Solve for x
    x = 4,978,875,471.63/99,810.84
  6. Step 6: Final answer
    x = 49,883.11

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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.