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Finding the Fourth Proportional to 55,347.84, 83,022.30 and 15,905.25

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Solution

The fourth proportional to 55,347.84, 83,022.30 and 15,905.25 is: 23,858.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,347.84 : 83,022.30 = 15,905.25 : x
  2. Step 2: Convert to fraction form
    55,347.84/83,022.30 = 15,905.25/x
  3. Step 3: Cross multiply
    55,347.84x = 83,022.30 × 15,905.25
  4. Step 4: Simplify right side
    55,347.84x = 1,320,490,437.08
  5. Step 5: Solve for x
    x = 1,320,490,437.08/55,347.84
  6. Step 6: Final answer
    x = 23,858.03

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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.