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Finding the Fourth Proportional to 32,577.68, 44,917.80 and 27,533

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Solution

The fourth proportional to 32,577.68, 44,917.80 and 27,533 is: 37,962.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,577.68 : 44,917.80 = 27,533 : x
  2. Step 2: Convert to fraction form
    32,577.68/44,917.80 = 27,533/x
  3. Step 3: Cross multiply
    32,577.68x = 44,917.80 × 27,533
  4. Step 4: Simplify right side
    32,577.68x = 1,236,721,787.40
  5. Step 5: Solve for x
    x = 1,236,721,787.40/32,577.68
  6. Step 6: Final answer
    x = 37,962.24

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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.