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Finding the Fourth Proportional to 35,032.26, 48,344.50 and 22,457

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Solution

The fourth proportional to 35,032.26, 48,344.50 and 22,457 is: 30,990.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,032.26 : 48,344.50 = 22,457 : x
  2. Step 2: Convert to fraction form
    35,032.26/48,344.50 = 22,457/x
  3. Step 3: Cross multiply
    35,032.26x = 48,344.50 × 22,457
  4. Step 4: Simplify right side
    35,032.26x = 1,085,672,436.50
  5. Step 5: Solve for x
    x = 1,085,672,436.50/35,032.26
  6. Step 6: Final answer
    x = 30,990.65

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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.