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Finding the Fourth Proportional to 50,071.90, 69,099.28 and 31,209

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Solution

The fourth proportional to 50,071.90, 69,099.28 and 31,209 is: 43,068.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,071.90 : 69,099.28 = 31,209 : x
  2. Step 2: Convert to fraction form
    50,071.90/69,099.28 = 31,209/x
  3. Step 3: Cross multiply
    50,071.90x = 69,099.28 × 31,209
  4. Step 4: Simplify right side
    50,071.90x = 2,156,519,429.52
  5. Step 5: Solve for x
    x = 2,156,519,429.52/50,071.90
  6. Step 6: Final answer
    x = 43,068.46

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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.