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Finding the Fourth Proportional to 30,545.31, 45,829.31 and 9,770.43

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Solution

The fourth proportional to 30,545.31, 45,829.31 and 9,770.43 is: 14,659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,545.31 : 45,829.31 = 9,770.43 : x
  2. Step 2: Convert to fraction form
    30,545.31/45,829.31 = 9,770.43/x
  3. Step 3: Cross multiply
    30,545.31x = 45,829.31 × 9,770.43
  4. Step 4: Simplify right side
    30,545.31x = 447,772,016.45
  5. Step 5: Solve for x
    x = 447,772,016.45/30,545.31
  6. Step 6: Final answer
    x = 14,659.27

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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.