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Finding the Fourth Proportional to 29,971.37, 44,952.80 and 12,209.78

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Solution

The fourth proportional to 29,971.37, 44,952.80 and 12,209.78 is: 18,312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,971.37 : 44,952.80 = 12,209.78 : x
  2. Step 2: Convert to fraction form
    29,971.37/44,952.80 = 12,209.78/x
  3. Step 3: Cross multiply
    29,971.37x = 44,952.80 × 12,209.78
  4. Step 4: Simplify right side
    29,971.37x = 548,863,849.72
  5. Step 5: Solve for x
    x = 548,863,849.72/29,971.37
  6. Step 6: Final answer
    x = 18,312.94

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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.