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Finding the Fourth Proportional to 32,779.24, 49,168.80 and 8,155.24

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Solution

The fourth proportional to 32,779.24, 49,168.80 and 8,155.24 is: 12,232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,779.24 : 49,168.80 = 8,155.24 : x
  2. Step 2: Convert to fraction form
    32,779.24/49,168.80 = 8,155.24/x
  3. Step 3: Cross multiply
    32,779.24x = 49,168.80 × 8,155.24
  4. Step 4: Simplify right side
    32,779.24x = 400,983,364.51
  5. Step 5: Solve for x
    x = 400,983,364.51/32,779.24
  6. Step 6: Final answer
    x = 12,232.85

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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.