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Finding the Fourth Proportional to 32,873.76, 49,317.93 and 9,498.42

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Solution

The fourth proportional to 32,873.76, 49,317.93 and 9,498.42 is: 14,249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,873.76 : 49,317.93 = 9,498.42 : x
  2. Step 2: Convert to fraction form
    32,873.76/49,317.93 = 9,498.42/x
  3. Step 3: Cross multiply
    32,873.76x = 49,317.93 × 9,498.42
  4. Step 4: Simplify right side
    32,873.76x = 468,442,412.67
  5. Step 5: Solve for x
    x = 468,442,412.67/32,873.76
  6. Step 6: Final answer
    x = 14,249.74

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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.