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Finding the Fourth Proportional to 35,533.80, 49,034.66 and 20,416.36

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Solution

The fourth proportional to 35,533.80, 49,034.66 and 20,416.36 is: 28,173.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,533.80 : 49,034.66 = 20,416.36 : x
  2. Step 2: Convert to fraction form
    35,533.80/49,034.66 = 20,416.36/x
  3. Step 3: Cross multiply
    35,533.80x = 49,034.66 × 20,416.36
  4. Step 4: Simplify right side
    35,533.80x = 1,001,109,271.04
  5. Step 5: Solve for x
    x = 1,001,109,271.04/35,533.80
  6. Step 6: Final answer
    x = 28,173.44

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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.