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Finding the Fourth Proportional to 32,052.16, 48,080.64 and 9,880.96

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Solution

The fourth proportional to 32,052.16, 48,080.64 and 9,880.96 is: 14,822.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,052.16 : 48,080.64 = 9,880.96 : x
  2. Step 2: Convert to fraction form
    32,052.16/48,080.64 = 9,880.96/x
  3. Step 3: Cross multiply
    32,052.16x = 48,080.64 × 9,880.96
  4. Step 4: Simplify right side
    32,052.16x = 475,082,880.61
  5. Step 5: Solve for x
    x = 475,082,880.61/32,052.16
  6. Step 6: Final answer
    x = 14,822.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.