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Finding the Fourth Proportional to 31,000.88, 42,705.29 and 22,477.96

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Solution

The fourth proportional to 31,000.88, 42,705.29 and 22,477.96 is: 30,964.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000.88 : 42,705.29 = 22,477.96 : x
  2. Step 2: Convert to fraction form
    31,000.88/42,705.29 = 22,477.96/x
  3. Step 3: Cross multiply
    31,000.88x = 42,705.29 × 22,477.96
  4. Step 4: Simplify right side
    31,000.88x = 959,927,909.98
  5. Step 5: Solve for x
    x = 959,927,909.98/31,000.88
  6. Step 6: Final answer
    x = 30,964.53

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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.