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Finding the Fourth Proportional to 31,792.95, 47,689.83 and 9,606.51

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Solution

The fourth proportional to 31,792.95, 47,689.83 and 9,606.51 is: 14,409.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,792.95 : 47,689.83 = 9,606.51 : x
  2. Step 2: Convert to fraction form
    31,792.95/47,689.83 = 9,606.51/x
  3. Step 3: Cross multiply
    31,792.95x = 47,689.83 × 9,606.51
  4. Step 4: Simplify right side
    31,792.95x = 458,132,828.79
  5. Step 5: Solve for x
    x = 458,132,828.79/31,792.95
  6. Step 6: Final answer
    x = 14,409.89

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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.