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Finding the Fourth Proportional to 35,678.40, 49,236.12 and 19,762.80

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Solution

The fourth proportional to 35,678.40, 49,236.12 and 19,762.80 is: 27,272.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,678.40 : 49,236.12 = 19,762.80 : x
  2. Step 2: Convert to fraction form
    35,678.40/49,236.12 = 19,762.80/x
  3. Step 3: Cross multiply
    35,678.40x = 49,236.12 × 19,762.80
  4. Step 4: Simplify right side
    35,678.40x = 973,043,592.34
  5. Step 5: Solve for x
    x = 973,043,592.34/35,678.40
  6. Step 6: Final answer
    x = 27,272.62

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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.