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Finding the Fourth Proportional to 50,209.80, 75,314.70 and 49,345.80

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Solution

The fourth proportional to 50,209.80, 75,314.70 and 49,345.80 is: 74,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,209.80 : 75,314.70 = 49,345.80 : x
  2. Step 2: Convert to fraction form
    50,209.80/75,314.70 = 49,345.80/x
  3. Step 3: Cross multiply
    50,209.80x = 75,314.70 × 49,345.80
  4. Step 4: Simplify right side
    50,209.80x = 3,716,464,123.26
  5. Step 5: Solve for x
    x = 3,716,464,123.26/50,209.80
  6. Step 6: Final answer
    x = 74,018.70

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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.