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Finding the Fourth Proportional to 74,523.24, 102,797.10 and 45,847.80

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Solution

The fourth proportional to 74,523.24, 102,797.10 and 45,847.80 is: 63,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,523.24 : 102,797.10 = 45,847.80 : x
  2. Step 2: Convert to fraction form
    74,523.24/102,797.10 = 45,847.80/x
  3. Step 3: Cross multiply
    74,523.24x = 102,797.10 × 45,847.80
  4. Step 4: Simplify right side
    74,523.24x = 4,713,020,881.38
  5. Step 5: Solve for x
    x = 4,713,020,881.38/74,523.24
  6. Step 6: Final answer
    x = 63,242.30

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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.