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Finding the Fourth Proportional to 32,412.94, 48,619.41 and 7,788.94

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Solution

The fourth proportional to 32,412.94, 48,619.41 and 7,788.94 is: 11,683.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412.94 : 48,619.41 = 7,788.94 : x
  2. Step 2: Convert to fraction form
    32,412.94/48,619.41 = 7,788.94/x
  3. Step 3: Cross multiply
    32,412.94x = 48,619.41 × 7,788.94
  4. Step 4: Simplify right side
    32,412.94x = 378,693,526.30
  5. Step 5: Solve for x
    x = 378,693,526.30/32,412.94
  6. Step 6: Final answer
    x = 11,683.41

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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.