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Finding the Fourth Proportional to 83,638.95, 125,416.89 and 30,328.80

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Solution

The fourth proportional to 83,638.95, 125,416.89 and 30,328.80 is: 45,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,638.95 : 125,416.89 = 30,328.80 : x
  2. Step 2: Convert to fraction form
    83,638.95/125,416.89 = 30,328.80/x
  3. Step 3: Cross multiply
    83,638.95x = 125,416.89 × 30,328.80
  4. Step 4: Simplify right side
    83,638.95x = 3,803,743,773.43
  5. Step 5: Solve for x
    x = 3,803,743,773.43/83,638.95
  6. Step 6: Final answer
    x = 45,478.14

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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.