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Finding the Fourth Proportional to 27,977.40, 42,014.70 and 14,855.40

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Solution

The fourth proportional to 27,977.40, 42,014.70 and 14,855.40 is: 22,308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,977.40 : 42,014.70 = 14,855.40 : x
  2. Step 2: Convert to fraction form
    27,977.40/42,014.70 = 14,855.40/x
  3. Step 3: Cross multiply
    27,977.40x = 42,014.70 × 14,855.40
  4. Step 4: Simplify right side
    27,977.40x = 624,145,174.38
  5. Step 5: Solve for x
    x = 624,145,174.38/27,977.40
  6. Step 6: Final answer
    x = 22,308.91

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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.