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Finding the Fourth Proportional to 46,978, 64,829.64 and 27,106

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Solution

The fourth proportional to 46,978, 64,829.64 and 27,106 is: 37,406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,978 : 64,829.64 = 27,106 : x
  2. Step 2: Convert to fraction form
    46,978/64,829.64 = 27,106/x
  3. Step 3: Cross multiply
    46,978x = 64,829.64 × 27,106
  4. Step 4: Simplify right side
    46,978x = 1,757,272,221.84
  5. Step 5: Solve for x
    x = 1,757,272,221.84/46,978
  6. Step 6: Final answer
    x = 37,406.28

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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.