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Finding the Fourth Proportional to 31,792.98, 47,689.80 and 9,606.54

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Solution

The fourth proportional to 31,792.98, 47,689.80 and 9,606.54 is: 14,409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,792.98 : 47,689.80 = 9,606.54 : x
  2. Step 2: Convert to fraction form
    31,792.98/47,689.80 = 9,606.54/x
  3. Step 3: Cross multiply
    31,792.98x = 47,689.80 × 9,606.54
  4. Step 4: Simplify right side
    31,792.98x = 458,133,971.29
  5. Step 5: Solve for x
    x = 458,133,971.29/31,792.98
  6. Step 6: Final answer
    x = 14,409.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.