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Finding the Fourth Proportional to 31,125, 42,937.69 and 21,056.97

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Solution

The fourth proportional to 31,125, 42,937.69 and 21,056.97 is: 29,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,125 : 42,937.69 = 21,056.97 : x
  2. Step 2: Convert to fraction form
    31,125/42,937.69 = 21,056.97/x
  3. Step 3: Cross multiply
    31,125x = 42,937.69 × 21,056.97
  4. Step 4: Simplify right side
    31,125x = 904,137,650.20
  5. Step 5: Solve for x
    x = 904,137,650.20/31,125
  6. Step 6: Final answer
    x = 29,048.60

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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.