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Finding the Fourth Proportional to 38,906.37, 58,304.34 and 29,988

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Solution

The fourth proportional to 38,906.37, 58,304.34 and 29,988 is: 44,939.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,906.37 : 58,304.34 = 29,988 : x
  2. Step 2: Convert to fraction form
    38,906.37/58,304.34 = 29,988/x
  3. Step 3: Cross multiply
    38,906.37x = 58,304.34 × 29,988
  4. Step 4: Simplify right side
    38,906.37x = 1,748,430,547.92
  5. Step 5: Solve for x
    x = 1,748,430,547.92/38,906.37
  6. Step 6: Final answer
    x = 44,939.44

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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.