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Finding the Fourth Proportional to 30,545.71, 45,820.08 and 9,500.09

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Solution

The fourth proportional to 30,545.71, 45,820.08 and 9,500.09 is: 14,250.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,545.71 : 45,820.08 = 9,500.09 : x
  2. Step 2: Convert to fraction form
    30,545.71/45,820.08 = 9,500.09/x
  3. Step 3: Cross multiply
    30,545.71x = 45,820.08 × 9,500.09
  4. Step 4: Simplify right side
    30,545.71x = 435,294,654.71
  5. Step 5: Solve for x
    x = 435,294,654.71/30,545.71
  6. Step 6: Final answer
    x = 14,250.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.