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Finding the Fourth Proportional to 31,108.56, 42,925 and 17,858

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Solution

The fourth proportional to 31,108.56, 42,925 and 17,858 is: 24,641.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,108.56 : 42,925 = 17,858 : x
  2. Step 2: Convert to fraction form
    31,108.56/42,925 = 17,858/x
  3. Step 3: Cross multiply
    31,108.56x = 42,925 × 17,858
  4. Step 4: Simplify right side
    31,108.56x = 766,554,650
  5. Step 5: Solve for x
    x = 766,554,650/31,108.56
  6. Step 6: Final answer
    x = 24,641.28

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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.