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Finding the Fourth Proportional to 55,713.98, 83,492.40 and 30,765.26

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Solution

The fourth proportional to 55,713.98, 83,492.40 and 30,765.26 is: 46,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,713.98 : 83,492.40 = 30,765.26 : x
  2. Step 2: Convert to fraction form
    55,713.98/83,492.40 = 30,765.26/x
  3. Step 3: Cross multiply
    55,713.98x = 83,492.40 × 30,765.26
  4. Step 4: Simplify right side
    55,713.98x = 2,568,665,394.02
  5. Step 5: Solve for x
    x = 2,568,665,394.02/55,713.98
  6. Step 6: Final answer
    x = 46,104.50

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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.