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Finding the Fourth Proportional to 36,165.83, 49,875.54 and 24,815.30

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Solution

The fourth proportional to 36,165.83, 49,875.54 and 24,815.30 is: 34,222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,165.83 : 49,875.54 = 24,815.30 : x
  2. Step 2: Convert to fraction form
    36,165.83/49,875.54 = 24,815.30/x
  3. Step 3: Cross multiply
    36,165.83x = 49,875.54 × 24,815.30
  4. Step 4: Simplify right side
    36,165.83x = 1,237,676,238.38
  5. Step 5: Solve for x
    x = 1,237,676,238.38/36,165.83
  6. Step 6: Final answer
    x = 34,222.26

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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.