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Finding the Fourth Proportional to 35,135.08, 48,497.70 and 23,209

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Solution

The fourth proportional to 35,135.08, 48,497.70 and 23,209 is: 32,035.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,135.08 : 48,497.70 = 23,209 : x
  2. Step 2: Convert to fraction form
    35,135.08/48,497.70 = 23,209/x
  3. Step 3: Cross multiply
    35,135.08x = 48,497.70 × 23,209
  4. Step 4: Simplify right side
    35,135.08x = 1,125,583,119.30
  5. Step 5: Solve for x
    x = 1,125,583,119.30/35,135.08
  6. Step 6: Final answer
    x = 32,035.88

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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.