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Finding the Fourth Proportional to 35,142.32, 48,496.19 and 20,035.60

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Solution

The fourth proportional to 35,142.32, 48,496.19 and 20,035.60 is: 27,649.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,142.32 : 48,496.19 = 20,035.60 : x
  2. Step 2: Convert to fraction form
    35,142.32/48,496.19 = 20,035.60/x
  3. Step 3: Cross multiply
    35,142.32x = 48,496.19 × 20,035.60
  4. Step 4: Simplify right side
    35,142.32x = 971,650,264.36
  5. Step 5: Solve for x
    x = 971,650,264.36/35,142.32
  6. Step 6: Final answer
    x = 27,649.01

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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.