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Finding the Fourth Proportional to 35,138.08, 48,501.84 and 23,212

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Solution

The fourth proportional to 35,138.08, 48,501.84 and 23,212 is: 32,040.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,138.08 : 48,501.84 = 23,212 : x
  2. Step 2: Convert to fraction form
    35,138.08/48,501.84 = 23,212/x
  3. Step 3: Cross multiply
    35,138.08x = 48,501.84 × 23,212
  4. Step 4: Simplify right side
    35,138.08x = 1,125,824,710.08
  5. Step 5: Solve for x
    x = 1,125,824,710.08/35,138.08
  6. Step 6: Final answer
    x = 32,040.02

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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.