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Finding the Fourth Proportional to 38,296.58, 57,445.02 and 11,642.85

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Solution

The fourth proportional to 38,296.58, 57,445.02 and 11,642.85 is: 17,464.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,296.58 : 57,445.02 = 11,642.85 : x
  2. Step 2: Convert to fraction form
    38,296.58/57,445.02 = 11,642.85/x
  3. Step 3: Cross multiply
    38,296.58x = 57,445.02 × 11,642.85
  4. Step 4: Simplify right side
    38,296.58x = 668,823,751.11
  5. Step 5: Solve for x
    x = 668,823,751.11/38,296.58
  6. Step 6: Final answer
    x = 17,464.32

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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.