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Finding the Fourth Proportional to 35,762.14, 49,347.75 and 19,847.26

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Solution

The fourth proportional to 35,762.14, 49,347.75 and 19,847.26 is: 27,387.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,762.14 : 49,347.75 = 19,847.26 : x
  2. Step 2: Convert to fraction form
    35,762.14/49,347.75 = 19,847.26/x
  3. Step 3: Cross multiply
    35,762.14x = 49,347.75 × 19,847.26
  4. Step 4: Simplify right side
    35,762.14x = 979,417,624.67
  5. Step 5: Solve for x
    x = 979,417,624.67/35,762.14
  6. Step 6: Final answer
    x = 27,387.00

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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.