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Finding the Fourth Proportional to 32,059.06, 48,094.08 and 9,872

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Solution

The fourth proportional to 32,059.06, 48,094.08 and 9,872 is: 14,809.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,059.06 : 48,094.08 = 9,872 : x
  2. Step 2: Convert to fraction form
    32,059.06/48,094.08 = 9,872/x
  3. Step 3: Cross multiply
    32,059.06x = 48,094.08 × 9,872
  4. Step 4: Simplify right side
    32,059.06x = 474,784,757.76
  5. Step 5: Solve for x
    x = 474,784,757.76/32,059.06
  6. Step 6: Final answer
    x = 14,809.69

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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.