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Finding the Fourth Proportional to 35,186.16, 48,565.20 and 23,250

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Solution

The fourth proportional to 35,186.16, 48,565.20 and 23,250 is: 32,090.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,186.16 : 48,565.20 = 23,250 : x
  2. Step 2: Convert to fraction form
    35,186.16/48,565.20 = 23,250/x
  3. Step 3: Cross multiply
    35,186.16x = 48,565.20 × 23,250
  4. Step 4: Simplify right side
    35,186.16x = 1,129,140,900
  5. Step 5: Solve for x
    x = 1,129,140,900/35,186.16
  6. Step 6: Final answer
    x = 32,090.48

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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.