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Finding the Fourth Proportional to 31,138.72, 42,956.88 and 21,064

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Solution

The fourth proportional to 31,138.72, 42,956.88 and 21,064 is: 29,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,138.72 : 42,956.88 = 21,064 : x
  2. Step 2: Convert to fraction form
    31,138.72/42,956.88 = 21,064/x
  3. Step 3: Cross multiply
    31,138.72x = 42,956.88 × 21,064
  4. Step 4: Simplify right side
    31,138.72x = 904,843,720.32
  5. Step 5: Solve for x
    x = 904,843,720.32/31,138.72
  6. Step 6: Final answer
    x = 29,058.48

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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.