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Finding the Fourth Proportional to 32,267.92, 48,411.60 and 10,080.40

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Solution

The fourth proportional to 32,267.92, 48,411.60 and 10,080.40 is: 15,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,267.92 : 48,411.60 = 10,080.40 : x
  2. Step 2: Convert to fraction form
    32,267.92/48,411.60 = 10,080.40/x
  3. Step 3: Cross multiply
    32,267.92x = 48,411.60 × 10,080.40
  4. Step 4: Simplify right side
    32,267.92x = 488,008,292.64
  5. Step 5: Solve for x
    x = 488,008,292.64/32,267.92
  6. Step 6: Final answer
    x = 15,123.64

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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.