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Finding the Fourth Proportional to 36,812.16, 50,775.12 and 27,830.88

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Solution

The fourth proportional to 36,812.16, 50,775.12 and 27,830.88 is: 38,387.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,812.16 : 50,775.12 = 27,830.88 : x
  2. Step 2: Convert to fraction form
    36,812.16/50,775.12 = 27,830.88/x
  3. Step 3: Cross multiply
    36,812.16x = 50,775.12 × 27,830.88
  4. Step 4: Simplify right side
    36,812.16x = 1,413,116,271.71
  5. Step 5: Solve for x
    x = 1,413,116,271.71/36,812.16
  6. Step 6: Final answer
    x = 38,387.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.