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Finding the Fourth Proportional to 31,780.34, 47,651.97 and 9,587.06

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Solution

The fourth proportional to 31,780.34, 47,651.97 and 9,587.06 is: 14,375.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,780.34 : 47,651.97 = 9,587.06 : x
  2. Step 2: Convert to fraction form
    31,780.34/47,651.97 = 9,587.06/x
  3. Step 3: Cross multiply
    31,780.34x = 47,651.97 × 9,587.06
  4. Step 4: Simplify right side
    31,780.34x = 456,842,295.51
  5. Step 5: Solve for x
    x = 456,842,295.51/31,780.34
  6. Step 6: Final answer
    x = 14,375.00

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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.