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Finding the Fourth Proportional to 35,096.16, 48,427.92 and 20,192.16

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Solution

The fourth proportional to 35,096.16, 48,427.92 and 20,192.16 is: 27,862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,096.16 : 48,427.92 = 20,192.16 : x
  2. Step 2: Convert to fraction form
    35,096.16/48,427.92 = 20,192.16/x
  3. Step 3: Cross multiply
    35,096.16x = 48,427.92 × 20,192.16
  4. Step 4: Simplify right side
    35,096.16x = 977,864,309.11
  5. Step 5: Solve for x
    x = 977,864,309.11/35,096.16
  6. Step 6: Final answer
    x = 27,862.43

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1.5x scale

Why These Related Problems?

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