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Finding the Fourth Proportional to 35,762.18, 49,350.14 and 19,846.49

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Solution

The fourth proportional to 35,762.18, 49,350.14 and 19,846.49 is: 27,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,762.18 : 49,350.14 = 19,846.49 : x
  2. Step 2: Convert to fraction form
    35,762.18/49,350.14 = 19,846.49/x
  3. Step 3: Cross multiply
    35,762.18x = 49,350.14 × 19,846.49
  4. Step 4: Simplify right side
    35,762.18x = 979,426,714.03
  5. Step 5: Solve for x
    x = 979,426,714.03/35,762.18
  6. Step 6: Final answer
    x = 27,387.22

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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.