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Finding the Fourth Proportional to 35,659.10, 49,303.50 and 31,230.42

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Solution

The fourth proportional to 35,659.10, 49,303.50 and 31,230.42 is: 43,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,659.10 : 49,303.50 = 31,230.42 : x
  2. Step 2: Convert to fraction form
    35,659.10/49,303.50 = 31,230.42/x
  3. Step 3: Cross multiply
    35,659.10x = 49,303.50 × 31,230.42
  4. Step 4: Simplify right side
    35,659.10x = 1,539,769,012.47
  5. Step 5: Solve for x
    x = 1,539,769,012.47/35,659.10
  6. Step 6: Final answer
    x = 43,180.25

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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.