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Finding the Fourth Proportional to 32,955.58, 49,441.80 and 9,582.02

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Solution

The fourth proportional to 32,955.58, 49,441.80 and 9,582.02 is: 14,375.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,955.58 : 49,441.80 = 9,582.02 : x
  2. Step 2: Convert to fraction form
    32,955.58/49,441.80 = 9,582.02/x
  3. Step 3: Cross multiply
    32,955.58x = 49,441.80 × 9,582.02
  4. Step 4: Simplify right side
    32,955.58x = 473,752,168.88
  5. Step 5: Solve for x
    x = 473,752,168.88/32,955.58
  6. Step 6: Final answer
    x = 14,375.48

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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.