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Finding the Fourth Proportional to 32,879.64, 49,326.84 and 9,507.90

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Solution

The fourth proportional to 32,879.64, 49,326.84 and 9,507.90 is: 14,263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,879.64 : 49,326.84 = 9,507.90 : x
  2. Step 2: Convert to fraction form
    32,879.64/49,326.84 = 9,507.90/x
  3. Step 3: Cross multiply
    32,879.64x = 49,326.84 × 9,507.90
  4. Step 4: Simplify right side
    32,879.64x = 468,994,662.04
  5. Step 5: Solve for x
    x = 468,994,662.04/32,879.64
  6. Step 6: Final answer
    x = 14,263.98

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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.