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Finding the Fourth Proportional to 74,464.99, 102,784.68 and 45,793.42

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Solution

The fourth proportional to 74,464.99, 102,784.68 and 45,793.42 is: 63,209.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,464.99 : 102,784.68 = 45,793.42 : x
  2. Step 2: Convert to fraction form
    74,464.99/102,784.68 = 45,793.42/x
  3. Step 3: Cross multiply
    74,464.99x = 102,784.68 × 45,793.42
  4. Step 4: Simplify right side
    74,464.99x = 4,706,861,763.84
  5. Step 5: Solve for x
    x = 4,706,861,763.84/74,464.99
  6. Step 6: Final answer
    x = 63,209.06

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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.