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Finding the Fourth Proportional to 32,469.24, 48,711.24 and 10,284

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Solution

The fourth proportional to 32,469.24, 48,711.24 and 10,284 is: 15,428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,469.24 : 48,711.24 = 10,284 : x
  2. Step 2: Convert to fraction form
    32,469.24/48,711.24 = 10,284/x
  3. Step 3: Cross multiply
    32,469.24x = 48,711.24 × 10,284
  4. Step 4: Simplify right side
    32,469.24x = 500,946,392.16
  5. Step 5: Solve for x
    x = 500,946,392.16/32,469.24
  6. Step 6: Final answer
    x = 15,428.34

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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.