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Finding the Fourth Proportional to 50,434.32, 75,580.67 and 39,857.84

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Solution

The fourth proportional to 50,434.32, 75,580.67 and 39,857.84 is: 59,730.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,434.32 : 75,580.67 = 39,857.84 : x
  2. Step 2: Convert to fraction form
    50,434.32/75,580.67 = 39,857.84/x
  3. Step 3: Cross multiply
    50,434.32x = 75,580.67 × 39,857.84
  4. Step 4: Simplify right side
    50,434.32x = 3,012,482,251.95
  5. Step 5: Solve for x
    x = 3,012,482,251.95/50,434.32
  6. Step 6: Final answer
    x = 59,730.80

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