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Finding the Fourth Proportional to 31,430.98, 47,052.84 and 20,305.18

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Solution

The fourth proportional to 31,430.98, 47,052.84 and 20,305.18 is: 30,397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,430.98 : 47,052.84 = 20,305.18 : x
  2. Step 2: Convert to fraction form
    31,430.98/47,052.84 = 20,305.18/x
  3. Step 3: Cross multiply
    31,430.98x = 47,052.84 × 20,305.18
  4. Step 4: Simplify right side
    31,430.98x = 955,416,385.71
  5. Step 5: Solve for x
    x = 955,416,385.71/31,430.98
  6. Step 6: Final answer
    x = 30,397.28

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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.