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Finding the Fourth Proportional to 32,892.64, 49,327.26 and 9,514.24

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Solution

The fourth proportional to 32,892.64, 49,327.26 and 9,514.24 is: 14,267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,892.64 : 49,327.26 = 9,514.24 : x
  2. Step 2: Convert to fraction form
    32,892.64/49,327.26 = 9,514.24/x
  3. Step 3: Cross multiply
    32,892.64x = 49,327.26 × 9,514.24
  4. Step 4: Simplify right side
    32,892.64x = 469,311,390.18
  5. Step 5: Solve for x
    x = 469,311,390.18/32,892.64
  6. Step 6: Final answer
    x = 14,267.98

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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.