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Finding the Fourth Proportional to 47,743.60, 65,878.84 and 27,596.58

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Solution

The fourth proportional to 47,743.60, 65,878.84 and 27,596.58 is: 38,079.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,743.60 : 65,878.84 = 27,596.58 : x
  2. Step 2: Convert to fraction form
    47,743.60/65,878.84 = 27,596.58/x
  3. Step 3: Cross multiply
    47,743.60x = 65,878.84 × 27,596.58
  4. Step 4: Simplify right side
    47,743.60x = 1,818,030,678.37
  5. Step 5: Solve for x
    x = 1,818,030,678.37/47,743.60
  6. Step 6: Final answer
    x = 38,079.04

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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.