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Finding the Fourth Proportional to 48,175.20, 72,262.80 and 30,657.60

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Solution

The fourth proportional to 48,175.20, 72,262.80 and 30,657.60 is: 45,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,175.20 : 72,262.80 = 30,657.60 : x
  2. Step 2: Convert to fraction form
    48,175.20/72,262.80 = 30,657.60/x
  3. Step 3: Cross multiply
    48,175.20x = 72,262.80 × 30,657.60
  4. Step 4: Simplify right side
    48,175.20x = 2,215,404,017.28
  5. Step 5: Solve for x
    x = 2,215,404,017.28/48,175.20
  6. Step 6: Final answer
    x = 45,986.40

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1.5x scale

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.