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Finding the Fourth Proportional to 31,038.27, 46,564.70 and 8,851.97

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Solution

The fourth proportional to 31,038.27, 46,564.70 and 8,851.97 is: 13,280.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,038.27 : 46,564.70 = 8,851.97 : x
  2. Step 2: Convert to fraction form
    31,038.27/46,564.70 = 8,851.97/x
  3. Step 3: Cross multiply
    31,038.27x = 46,564.70 × 8,851.97
  4. Step 4: Simplify right side
    31,038.27x = 412,189,050.38
  5. Step 5: Solve for x
    x = 412,189,050.38/31,038.27
  6. Step 6: Final answer
    x = 13,280.03

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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.