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Finding the Fourth Proportional to 55,735, 83,602.50 and 18,799

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Solution

The fourth proportional to 55,735, 83,602.50 and 18,799 is: 28,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,735 : 83,602.50 = 18,799 : x
  2. Step 2: Convert to fraction form
    55,735/83,602.50 = 18,799/x
  3. Step 3: Cross multiply
    55,735x = 83,602.50 × 18,799
  4. Step 4: Simplify right side
    55,735x = 1,571,643,397.50
  5. Step 5: Solve for x
    x = 1,571,643,397.50/55,735
  6. Step 6: Final answer
    x = 28,198.50

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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.