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Finding the Fourth Proportional to 31,770.96, 47,641 and 9,580.20

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Solution

The fourth proportional to 31,770.96, 47,641 and 9,580.20 is: 14,365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,770.96 : 47,641 = 9,580.20 : x
  2. Step 2: Convert to fraction form
    31,770.96/47,641 = 9,580.20/x
  3. Step 3: Cross multiply
    31,770.96x = 47,641 × 9,580.20
  4. Step 4: Simplify right side
    31,770.96x = 456,410,308.20
  5. Step 5: Solve for x
    x = 456,410,308.20/31,770.96
  6. Step 6: Final answer
    x = 14,365.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.