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Finding the Fourth Proportional to 32,582.80, 48,801.30 and 28,208.80

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Solution

The fourth proportional to 32,582.80, 48,801.30 and 28,208.80 is: 42,250.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,582.80 : 48,801.30 = 28,208.80 : x
  2. Step 2: Convert to fraction form
    32,582.80/48,801.30 = 28,208.80/x
  3. Step 3: Cross multiply
    32,582.80x = 48,801.30 × 28,208.80
  4. Step 4: Simplify right side
    32,582.80x = 1,376,626,111.44
  5. Step 5: Solve for x
    x = 1,376,626,111.44/32,582.80
  6. Step 6: Final answer
    x = 42,250.09

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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.