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Finding the Fourth Proportional to 30,971.48, 42,733.29 and 18,225.22

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Solution

The fourth proportional to 30,971.48, 42,733.29 and 18,225.22 is: 25,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.48 : 42,733.29 = 18,225.22 : x
  2. Step 2: Convert to fraction form
    30,971.48/42,733.29 = 18,225.22/x
  3. Step 3: Cross multiply
    30,971.48x = 42,733.29 × 18,225.22
  4. Step 4: Simplify right side
    30,971.48x = 778,823,611.57
  5. Step 5: Solve for x
    x = 778,823,611.57/30,971.48
  6. Step 6: Final answer
    x = 25,146.48

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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.