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Finding the Fourth Proportional to 32,374.09, 48,568.64 and 10,186.89

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Solution

The fourth proportional to 32,374.09, 48,568.64 and 10,186.89 is: 15,282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,374.09 : 48,568.64 = 10,186.89 : x
  2. Step 2: Convert to fraction form
    32,374.09/48,568.64 = 10,186.89/x
  3. Step 3: Cross multiply
    32,374.09x = 48,568.64 × 10,186.89
  4. Step 4: Simplify right side
    32,374.09x = 494,763,312.94
  5. Step 5: Solve for x
    x = 494,763,312.94/32,374.09
  6. Step 6: Final answer
    x = 15,282.70

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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.