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Finding the Fourth Proportional to 31,775.15, 47,663.07 and 9,588.72

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Solution

The fourth proportional to 31,775.15, 47,663.07 and 9,588.72 is: 14,383.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,775.15 : 47,663.07 = 9,588.72 : x
  2. Step 2: Convert to fraction form
    31,775.15/47,663.07 = 9,588.72/x
  3. Step 3: Cross multiply
    31,775.15x = 47,663.07 × 9,588.72
  4. Step 4: Simplify right side
    31,775.15x = 457,027,832.57
  5. Step 5: Solve for x
    x = 457,027,832.57/31,775.15
  6. Step 6: Final answer
    x = 14,383.18

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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.