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Finding the Fourth Proportional to 50,312.52, 69,390.06 and 31,179

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Solution

The fourth proportional to 50,312.52, 69,390.06 and 31,179 is: 43,001.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,312.52 : 69,390.06 = 31,179 : x
  2. Step 2: Convert to fraction form
    50,312.52/69,390.06 = 31,179/x
  3. Step 3: Cross multiply
    50,312.52x = 69,390.06 × 31,179
  4. Step 4: Simplify right side
    50,312.52x = 2,163,512,680.74
  5. Step 5: Solve for x
    x = 2,163,512,680.74/50,312.52
  6. Step 6: Final answer
    x = 43,001.48

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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.