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Finding the Fourth Proportional to 31,570.56, 47,370.42 and 14,051.88

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Solution

The fourth proportional to 31,570.56, 47,370.42 and 14,051.88 is: 21,084.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,570.56 : 47,370.42 = 14,051.88 : x
  2. Step 2: Convert to fraction form
    31,570.56/47,370.42 = 14,051.88/x
  3. Step 3: Cross multiply
    31,570.56x = 47,370.42 × 14,051.88
  4. Step 4: Simplify right side
    31,570.56x = 665,643,457.39
  5. Step 5: Solve for x
    x = 665,643,457.39/31,570.56
  6. Step 6: Final answer
    x = 21,084.31

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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.