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Finding the Fourth Proportional to 32,504, 48,756 and 7,880

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Solution

The fourth proportional to 32,504, 48,756 and 7,880 is: 11,820

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,504 : 48,756 = 7,880 : x
  2. Step 2: Convert to fraction form
    32,504/48,756 = 7,880/x
  3. Step 3: Cross multiply
    32,504x = 48,756 × 7,880
  4. Step 4: Simplify right side
    32,504x = 384,197,280
  5. Step 5: Solve for x
    x = 384,197,280/32,504
  6. Step 6: Final answer
    x = 11,820

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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.