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Finding the Fourth Proportional to 50,459.70, 75,580.20 and 41,711.70

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Solution

The fourth proportional to 50,459.70, 75,580.20 and 41,711.70 is: 62,477.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,459.70 : 75,580.20 = 41,711.70 : x
  2. Step 2: Convert to fraction form
    50,459.70/75,580.20 = 41,711.70/x
  3. Step 3: Cross multiply
    50,459.70x = 75,580.20 × 41,711.70
  4. Step 4: Simplify right side
    50,459.70x = 3,152,578,628.34
  5. Step 5: Solve for x
    x = 3,152,578,628.34/50,459.70
  6. Step 6: Final answer
    x = 62,477.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.