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Finding the Fourth Proportional to 48,122.70, 72,182.70 and 21,827.40

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Solution

The fourth proportional to 48,122.70, 72,182.70 and 21,827.40 is: 32,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,122.70 : 72,182.70 = 21,827.40 : x
  2. Step 2: Convert to fraction form
    48,122.70/72,182.70 = 21,827.40/x
  3. Step 3: Cross multiply
    48,122.70x = 72,182.70 × 21,827.40
  4. Step 4: Simplify right side
    48,122.70x = 1,575,560,665.98
  5. Step 5: Solve for x
    x = 1,575,560,665.98/48,122.70
  6. Step 6: Final answer
    x = 32,740.49

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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.