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Finding the Fourth Proportional to 27,379.76, 37,784.76 and 16,775.24

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Solution

The fourth proportional to 27,379.76, 37,784.76 and 16,775.24 is: 23,150.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,379.76 : 37,784.76 = 16,775.24 : x
  2. Step 2: Convert to fraction form
    27,379.76/37,784.76 = 16,775.24/x
  3. Step 3: Cross multiply
    27,379.76x = 37,784.76 × 16,775.24
  4. Step 4: Simplify right side
    27,379.76x = 633,848,417.34
  5. Step 5: Solve for x
    x = 633,848,417.34/27,379.76
  6. Step 6: Final answer
    x = 23,150.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.