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Finding the Fourth Proportional to 31,155, 42,992.30 and 17,005.12

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Solution

The fourth proportional to 31,155, 42,992.30 and 17,005.12 is: 23,466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,155 : 42,992.30 = 17,005.12 : x
  2. Step 2: Convert to fraction form
    31,155/42,992.30 = 17,005.12/x
  3. Step 3: Cross multiply
    31,155x = 42,992.30 × 17,005.12
  4. Step 4: Simplify right side
    31,155x = 731,089,220.58
  5. Step 5: Solve for x
    x = 731,089,220.58/31,155
  6. Step 6: Final answer
    x = 23,466.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.