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Finding the Fourth Proportional to 75,066, 103,592.40 and 41,077.46

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Solution

The fourth proportional to 75,066, 103,592.40 and 41,077.46 is: 56,687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,066 : 103,592.40 = 41,077.46 : x
  2. Step 2: Convert to fraction form
    75,066/103,592.40 = 41,077.46/x
  3. Step 3: Cross multiply
    75,066x = 103,592.40 × 41,077.46
  4. Step 4: Simplify right side
    75,066x = 4,255,312,667.30
  5. Step 5: Solve for x
    x = 4,255,312,667.30/75,066
  6. Step 6: Final answer
    x = 56,687.62

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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.