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Finding the Fourth Proportional to 32,403.32, 48,604.97 and 7,779.32

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Solution

The fourth proportional to 32,403.32, 48,604.97 and 7,779.32 is: 11,668.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,403.32 : 48,604.97 = 7,779.32 : x
  2. Step 2: Convert to fraction form
    32,403.32/48,604.97 = 7,779.32/x
  3. Step 3: Cross multiply
    32,403.32x = 48,604.97 × 7,779.32
  4. Step 4: Simplify right side
    32,403.32x = 378,113,352.75
  5. Step 5: Solve for x
    x = 378,113,352.75/32,403.32
  6. Step 6: Final answer
    x = 11,668.97

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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.