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Finding the Fourth Proportional to 27,878, 41,823.48 and 9,410

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Solution

The fourth proportional to 27,878, 41,823.48 and 9,410 is: 14,117.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878 : 41,823.48 = 9,410 : x
  2. Step 2: Convert to fraction form
    27,878/41,823.48 = 9,410/x
  3. Step 3: Cross multiply
    27,878x = 41,823.48 × 9,410
  4. Step 4: Simplify right side
    27,878x = 393,558,946.80
  5. Step 5: Solve for x
    x = 393,558,946.80/27,878
  6. Step 6: Final answer
    x = 14,117.19

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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.