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Finding the Fourth Proportional to 48,652.20, 72,824.70 and 47,116.20

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Solution

The fourth proportional to 48,652.20, 72,824.70 and 47,116.20 is: 70,525.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,652.20 : 72,824.70 = 47,116.20 : x
  2. Step 2: Convert to fraction form
    48,652.20/72,824.70 = 47,116.20/x
  3. Step 3: Cross multiply
    48,652.20x = 72,824.70 × 47,116.20
  4. Step 4: Simplify right side
    48,652.20x = 3,431,223,130.14
  5. Step 5: Solve for x
    x = 3,431,223,130.14/48,652.20
  6. Step 6: Final answer
    x = 70,525.55

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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.