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Finding the Fourth Proportional to 32,678.20, 48,647.75 and 32,483.80

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Solution

The fourth proportional to 32,678.20, 48,647.75 and 32,483.80 is: 48,358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,678.20 : 48,647.75 = 32,483.80 : x
  2. Step 2: Convert to fraction form
    32,678.20/48,647.75 = 32,483.80/x
  3. Step 3: Cross multiply
    32,678.20x = 48,647.75 × 32,483.80
  4. Step 4: Simplify right side
    32,678.20x = 1,580,263,781.45
  5. Step 5: Solve for x
    x = 1,580,263,781.45/32,678.20
  6. Step 6: Final answer
    x = 48,358.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.