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Finding the Fourth Proportional to 74,565.02, 102,899.69 and 41,031.02

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Solution

The fourth proportional to 74,565.02, 102,899.69 and 41,031.02 is: 56,622.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,565.02 : 102,899.69 = 41,031.02 : x
  2. Step 2: Convert to fraction form
    74,565.02/102,899.69 = 41,031.02/x
  3. Step 3: Cross multiply
    74,565.02x = 102,899.69 × 41,031.02
  4. Step 4: Simplify right side
    74,565.02x = 4,222,079,238.38
  5. Step 5: Solve for x
    x = 4,222,079,238.38/74,565.02
  6. Step 6: Final answer
    x = 56,622.79

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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.