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Finding the Fourth Proportional to 32,412.19, 48,618.28 and 7,788.19

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Solution

The fourth proportional to 32,412.19, 48,618.28 and 7,788.19 is: 11,682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412.19 : 48,618.28 = 7,788.19 : x
  2. Step 2: Convert to fraction form
    32,412.19/48,618.28 = 7,788.19/x
  3. Step 3: Cross multiply
    32,412.19x = 48,618.28 × 7,788.19
  4. Step 4: Simplify right side
    32,412.19x = 378,648,300.04
  5. Step 5: Solve for x
    x = 378,648,300.04/32,412.19
  6. Step 6: Final answer
    x = 11,682.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.