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Finding the Fourth Proportional to 31,156.95, 42,999.05 and 17,728.77

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Solution

The fourth proportional to 31,156.95, 42,999.05 and 17,728.77 is: 24,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,156.95 : 42,999.05 = 17,728.77 : x
  2. Step 2: Convert to fraction form
    31,156.95/42,999.05 = 17,728.77/x
  3. Step 3: Cross multiply
    31,156.95x = 42,999.05 × 17,728.77
  4. Step 4: Simplify right side
    31,156.95x = 762,320,267.67
  5. Step 5: Solve for x
    x = 762,320,267.67/31,156.95
  6. Step 6: Final answer
    x = 24,467.10

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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.