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Finding the Fourth Proportional to 31,779.37, 47,667.80 and 9,592.14

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Solution

The fourth proportional to 31,779.37, 47,667.80 and 9,592.14 is: 14,387.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,779.37 : 47,667.80 = 9,592.14 : x
  2. Step 2: Convert to fraction form
    31,779.37/47,667.80 = 9,592.14/x
  3. Step 3: Cross multiply
    31,779.37x = 47,667.80 × 9,592.14
  4. Step 4: Simplify right side
    31,779.37x = 457,236,235.07
  5. Step 5: Solve for x
    x = 457,236,235.07/31,779.37
  6. Step 6: Final answer
    x = 14,387.83

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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.