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Finding the Fourth Proportional to 48,906, 73,309.32 and 19,283.16

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Solution

The fourth proportional to 48,906, 73,309.32 and 19,283.16 is: 28,905.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,906 : 73,309.32 = 19,283.16 : x
  2. Step 2: Convert to fraction form
    48,906/73,309.32 = 19,283.16/x
  3. Step 3: Cross multiply
    48,906x = 73,309.32 × 19,283.16
  4. Step 4: Simplify right side
    48,906x = 1,413,635,347.05
  5. Step 5: Solve for x
    x = 1,413,635,347.05/48,906
  6. Step 6: Final answer
    x = 28,905.15

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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.