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Finding the Fourth Proportional to 24,047.70, 36,047.07 and 16,257.30

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Solution

The fourth proportional to 24,047.70, 36,047.07 and 16,257.30 is: 24,369.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,047.70 : 36,047.07 = 16,257.30 : x
  2. Step 2: Convert to fraction form
    24,047.70/36,047.07 = 16,257.30/x
  3. Step 3: Cross multiply
    24,047.70x = 36,047.07 × 16,257.30
  4. Step 4: Simplify right side
    24,047.70x = 586,028,031.11
  5. Step 5: Solve for x
    x = 586,028,031.11/24,047.70
  6. Step 6: Final answer
    x = 24,369.40

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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.