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Finding the Fourth Proportional to 31,783.84, 47,657.22 and 9,590.56

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Solution

The fourth proportional to 31,783.84, 47,657.22 and 9,590.56 is: 14,380.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,783.84 : 47,657.22 = 9,590.56 : x
  2. Step 2: Convert to fraction form
    31,783.84/47,657.22 = 9,590.56/x
  3. Step 3: Cross multiply
    31,783.84x = 47,657.22 × 9,590.56
  4. Step 4: Simplify right side
    31,783.84x = 457,059,427.84
  5. Step 5: Solve for x
    x = 457,059,427.84/31,783.84
  6. Step 6: Final answer
    x = 14,380.25

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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.