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Finding the Fourth Proportional to 83,638.45, 125,416.14 and 30,328.30

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Solution

The fourth proportional to 83,638.45, 125,416.14 and 30,328.30 is: 45,477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,638.45 : 125,416.14 = 30,328.30 : x
  2. Step 2: Convert to fraction form
    83,638.45/125,416.14 = 30,328.30/x
  3. Step 3: Cross multiply
    83,638.45x = 125,416.14 × 30,328.30
  4. Step 4: Simplify right side
    83,638.45x = 3,803,658,318.76
  5. Step 5: Solve for x
    x = 3,803,658,318.76/83,638.45
  6. Step 6: Final answer
    x = 45,477.39

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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.