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Finding the Fourth Proportional to 35,083.80, 48,407.76 and 20,934

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Solution

The fourth proportional to 35,083.80, 48,407.76 and 20,934 is: 28,884.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,083.80 : 48,407.76 = 20,934 : x
  2. Step 2: Convert to fraction form
    35,083.80/48,407.76 = 20,934/x
  3. Step 3: Cross multiply
    35,083.80x = 48,407.76 × 20,934
  4. Step 4: Simplify right side
    35,083.80x = 1,013,368,047.84
  5. Step 5: Solve for x
    x = 1,013,368,047.84/35,083.80
  6. Step 6: Final answer
    x = 28,884.22

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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.