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Finding the Fourth Proportional to 48,209.70, 72,314.55 and 13,149.30

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Solution

The fourth proportional to 48,209.70, 72,314.55 and 13,149.30 is: 19,723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,209.70 : 72,314.55 = 13,149.30 : x
  2. Step 2: Convert to fraction form
    48,209.70/72,314.55 = 13,149.30/x
  3. Step 3: Cross multiply
    48,209.70x = 72,314.55 × 13,149.30
  4. Step 4: Simplify right side
    48,209.70x = 950,885,712.32
  5. Step 5: Solve for x
    x = 950,885,712.32/48,209.70
  6. Step 6: Final answer
    x = 19,723.95

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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.