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Finding the Fourth Proportional to 31,851.27, 47,779.16 and 9,666.45

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Solution

The fourth proportional to 31,851.27, 47,779.16 and 9,666.45 is: 14,500.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,851.27 : 47,779.16 = 9,666.45 : x
  2. Step 2: Convert to fraction form
    31,851.27/47,779.16 = 9,666.45/x
  3. Step 3: Cross multiply
    31,851.27x = 47,779.16 × 9,666.45
  4. Step 4: Simplify right side
    31,851.27x = 461,854,812.85
  5. Step 5: Solve for x
    x = 461,854,812.85/31,851.27
  6. Step 6: Final answer
    x = 14,500.36

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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.