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Finding the Fourth Proportional to 35,102.34, 48,441.12 and 19,186.78

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Solution

The fourth proportional to 35,102.34, 48,441.12 and 19,186.78 is: 26,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,102.34 : 48,441.12 = 19,186.78 : x
  2. Step 2: Convert to fraction form
    35,102.34/48,441.12 = 19,186.78/x
  3. Step 3: Cross multiply
    35,102.34x = 48,441.12 × 19,186.78
  4. Step 4: Simplify right side
    35,102.34x = 929,429,112.39
  5. Step 5: Solve for x
    x = 929,429,112.39/35,102.34
  6. Step 6: Final answer
    x = 26,477.70

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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.