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Finding the Fourth Proportional to 31,783.59, 47,656.85 and 9,590.31

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Solution

The fourth proportional to 31,783.59, 47,656.85 and 9,590.31 is: 14,379.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,783.59 : 47,656.85 = 9,590.31 : x
  2. Step 2: Convert to fraction form
    31,783.59/47,656.85 = 9,590.31/x
  3. Step 3: Cross multiply
    31,783.59x = 47,656.85 × 9,590.31
  4. Step 4: Simplify right side
    31,783.59x = 457,043,917.17
  5. Step 5: Solve for x
    x = 457,043,917.17/31,783.59
  6. Step 6: Final answer
    x = 14,379.87

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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.