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Finding the Fourth Proportional to 53,858.64, 74,323.60 and 29,984.84

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Solution

The fourth proportional to 53,858.64, 74,323.60 and 29,984.84 is: 41,378.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,858.64 : 74,323.60 = 29,984.84 : x
  2. Step 2: Convert to fraction form
    53,858.64/74,323.60 = 29,984.84/x
  3. Step 3: Cross multiply
    53,858.64x = 74,323.60 × 29,984.84
  4. Step 4: Simplify right side
    53,858.64x = 2,228,581,254.22
  5. Step 5: Solve for x
    x = 2,228,581,254.22/53,858.64
  6. Step 6: Final answer
    x = 41,378.34

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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.