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Finding the Fourth Proportional to 35,577.68, 49,101.89 and 34,409.34

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Solution

The fourth proportional to 35,577.68, 49,101.89 and 34,409.34 is: 47,489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,577.68 : 49,101.89 = 34,409.34 : x
  2. Step 2: Convert to fraction form
    35,577.68/49,101.89 = 34,409.34/x
  3. Step 3: Cross multiply
    35,577.68x = 49,101.89 × 34,409.34
  4. Step 4: Simplify right side
    35,577.68x = 1,689,563,455.61
  5. Step 5: Solve for x
    x = 1,689,563,455.61/35,577.68
  6. Step 6: Final answer
    x = 47,489.43

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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.