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Finding the Fourth Proportional to 50,424.48, 69,584.80 and 31,572

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Solution

The fourth proportional to 50,424.48, 69,584.80 and 31,572 is: 43,568.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,424.48 : 69,584.80 = 31,572 : x
  2. Step 2: Convert to fraction form
    50,424.48/69,584.80 = 31,572/x
  3. Step 3: Cross multiply
    50,424.48x = 69,584.80 × 31,572
  4. Step 4: Simplify right side
    50,424.48x = 2,196,931,305.60
  5. Step 5: Solve for x
    x = 2,196,931,305.60/50,424.48
  6. Step 6: Final answer
    x = 43,568.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.