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Finding the Fourth Proportional to 27,935.10, 41,903.11 and 6,875.20

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Solution

The fourth proportional to 27,935.10, 41,903.11 and 6,875.20 is: 10,312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,935.10 : 41,903.11 = 6,875.20 : x
  2. Step 2: Convert to fraction form
    27,935.10/41,903.11 = 6,875.20/x
  3. Step 3: Cross multiply
    27,935.10x = 41,903.11 × 6,875.20
  4. Step 4: Simplify right side
    27,935.10x = 288,092,297.06
  5. Step 5: Solve for x
    x = 288,092,297.06/27,935.10
  6. Step 6: Final answer
    x = 10,312.91

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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.