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Finding the Fourth Proportional to 30,575.71, 45,876.75 and 16,545.60

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Solution

The fourth proportional to 30,575.71, 45,876.75 and 16,545.60 is: 24,825.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,575.71 : 45,876.75 = 16,545.60 : x
  2. Step 2: Convert to fraction form
    30,575.71/45,876.75 = 16,545.60/x
  3. Step 3: Cross multiply
    30,575.71x = 45,876.75 × 16,545.60
  4. Step 4: Simplify right side
    30,575.71x = 759,058,292.75
  5. Step 5: Solve for x
    x = 759,058,292.75/30,575.71
  6. Step 6: Final answer
    x = 24,825.53

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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.