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Finding the Fourth Proportional to 48,085.50, 72,119.34 and 13,020.60

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Solution

The fourth proportional to 48,085.50, 72,119.34 and 13,020.60 is: 19,528.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,085.50 : 72,119.34 = 13,020.60 : x
  2. Step 2: Convert to fraction form
    48,085.50/72,119.34 = 13,020.60/x
  3. Step 3: Cross multiply
    48,085.50x = 72,119.34 × 13,020.60
  4. Step 4: Simplify right side
    48,085.50x = 939,037,078.40
  5. Step 5: Solve for x
    x = 939,037,078.40/48,085.50
  6. Step 6: Final answer
    x = 19,528.49

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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.