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Finding the Fourth Proportional to 50,416.48, 69,573.76 and 31,564

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Solution

The fourth proportional to 50,416.48, 69,573.76 and 31,564 is: 43,557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,416.48 : 69,573.76 = 31,564 : x
  2. Step 2: Convert to fraction form
    50,416.48/69,573.76 = 31,564/x
  3. Step 3: Cross multiply
    50,416.48x = 69,573.76 × 31,564
  4. Step 4: Simplify right side
    50,416.48x = 2,196,026,160.64
  5. Step 5: Solve for x
    x = 2,196,026,160.64/50,416.48
  6. Step 6: Final answer
    x = 43,557.70

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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.