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Finding the Fourth Proportional to 32,290.32, 48,435.84 and 10,102.80

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Solution

The fourth proportional to 32,290.32, 48,435.84 and 10,102.80 is: 15,154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,290.32 : 48,435.84 = 10,102.80 : x
  2. Step 2: Convert to fraction form
    32,290.32/48,435.84 = 10,102.80/x
  3. Step 3: Cross multiply
    32,290.32x = 48,435.84 × 10,102.80
  4. Step 4: Simplify right side
    32,290.32x = 489,337,604.35
  5. Step 5: Solve for x
    x = 489,337,604.35/32,290.32
  6. Step 6: Final answer
    x = 15,154.31

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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.