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Finding the Fourth Proportional to 32,423.14, 48,647.40 and 12,698.29

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Solution

The fourth proportional to 32,423.14, 48,647.40 and 12,698.29 is: 19,052.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,423.14 : 48,647.40 = 12,698.29 : x
  2. Step 2: Convert to fraction form
    32,423.14/48,647.40 = 12,698.29/x
  3. Step 3: Cross multiply
    32,423.14x = 48,647.40 × 12,698.29
  4. Step 4: Simplify right side
    32,423.14x = 617,738,792.95
  5. Step 5: Solve for x
    x = 617,738,792.95/32,423.14
  6. Step 6: Final answer
    x = 19,052.40

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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.