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Finding the Fourth Proportional to 31,409.57, 47,125.29 and 14,782.30

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Solution

The fourth proportional to 31,409.57, 47,125.29 and 14,782.30 is: 22,178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,409.57 : 47,125.29 = 14,782.30 : x
  2. Step 2: Convert to fraction form
    31,409.57/47,125.29 = 14,782.30/x
  3. Step 3: Cross multiply
    31,409.57x = 47,125.29 × 14,782.30
  4. Step 4: Simplify right side
    31,409.57x = 696,620,111.99
  5. Step 5: Solve for x
    x = 696,620,111.99/31,409.57
  6. Step 6: Final answer
    x = 22,178.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.