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Finding the Fourth Proportional to 31,965.60, 47,951 and 9,780.80

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Solution

The fourth proportional to 31,965.60, 47,951 and 9,780.80 is: 14,672.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,965.60 : 47,951 = 9,780.80 : x
  2. Step 2: Convert to fraction form
    31,965.60/47,951 = 9,780.80/x
  3. Step 3: Cross multiply
    31,965.60x = 47,951 × 9,780.80
  4. Step 4: Simplify right side
    31,965.60x = 468,999,140.80
  5. Step 5: Solve for x
    x = 468,999,140.80/31,965.60
  6. Step 6: Final answer
    x = 14,672.00

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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.