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Finding the Fourth Proportional to 32,579.64, 48,877.89 and 9,206.08

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Solution

The fourth proportional to 32,579.64, 48,877.89 and 9,206.08 is: 13,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,579.64 : 48,877.89 = 9,206.08 : x
  2. Step 2: Convert to fraction form
    32,579.64/48,877.89 = 9,206.08/x
  3. Step 3: Cross multiply
    32,579.64x = 48,877.89 × 9,206.08
  4. Step 4: Simplify right side
    32,579.64x = 449,973,643.38
  5. Step 5: Solve for x
    x = 449,973,643.38/32,579.64
  6. Step 6: Final answer
    x = 13,811.50

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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.