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Finding the Fourth Proportional to 32,594.67, 48,809.25 and 27,315.83

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Solution

The fourth proportional to 32,594.67, 48,809.25 and 27,315.83 is: 40,904.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,594.67 : 48,809.25 = 27,315.83 : x
  2. Step 2: Convert to fraction form
    32,594.67/48,809.25 = 27,315.83/x
  3. Step 3: Cross multiply
    32,594.67x = 48,809.25 × 27,315.83
  4. Step 4: Simplify right side
    32,594.67x = 1,333,265,297.45
  5. Step 5: Solve for x
    x = 1,333,265,297.45/32,594.67
  6. Step 6: Final answer
    x = 40,904.40

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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.