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Finding the Fourth Proportional to 32,582.25, 48,873.38 and 9,209.30

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Solution

The fourth proportional to 32,582.25, 48,873.38 and 9,209.30 is: 13,813.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,582.25 : 48,873.38 = 9,209.30 : x
  2. Step 2: Convert to fraction form
    32,582.25/48,873.38 = 9,209.30/x
  3. Step 3: Cross multiply
    32,582.25x = 48,873.38 × 9,209.30
  4. Step 4: Simplify right side
    32,582.25x = 450,089,328.02
  5. Step 5: Solve for x
    x = 450,089,328.02/32,582.25
  6. Step 6: Final answer
    x = 13,813.94

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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.