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Finding the Fourth Proportional to 50,915.77, 70,308.39 and 31,828.16

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Solution

The fourth proportional to 50,915.77, 70,308.39 and 31,828.16 is: 43,950.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,915.77 : 70,308.39 = 31,828.16 : x
  2. Step 2: Convert to fraction form
    50,915.77/70,308.39 = 31,828.16/x
  3. Step 3: Cross multiply
    50,915.77x = 70,308.39 × 31,828.16
  4. Step 4: Simplify right side
    50,915.77x = 2,237,786,981.39
  5. Step 5: Solve for x
    x = 2,237,786,981.39/50,915.77
  6. Step 6: Final answer
    x = 43,950.77

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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.