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Finding the Fourth Proportional to 93,380.50, 140,071.97 and 31,051

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Solution

The fourth proportional to 93,380.50, 140,071.97 and 31,051 is: 46,576.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,380.50 : 140,071.97 = 31,051 : x
  2. Step 2: Convert to fraction form
    93,380.50/140,071.97 = 31,051/x
  3. Step 3: Cross multiply
    93,380.50x = 140,071.97 × 31,051
  4. Step 4: Simplify right side
    93,380.50x = 4,349,374,740.47
  5. Step 5: Solve for x
    x = 4,349,374,740.47/93,380.50
  6. Step 6: Final answer
    x = 46,576.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.