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Finding the Fourth Proportional to 32,874.90, 49,297.80 and 20,394.42

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Solution

The fourth proportional to 32,874.90, 49,297.80 and 20,394.42 is: 30,582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,874.90 : 49,297.80 = 20,394.42 : x
  2. Step 2: Convert to fraction form
    32,874.90/49,297.80 = 20,394.42/x
  3. Step 3: Cross multiply
    32,874.90x = 49,297.80 × 20,394.42
  4. Step 4: Simplify right side
    32,874.90x = 1,005,400,038.28
  5. Step 5: Solve for x
    x = 1,005,400,038.28/32,874.90
  6. Step 6: Final answer
    x = 30,582.60

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1.5x scale

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.