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Finding the Fourth Proportional to 55,542.64, 83,322.60 and 18,598

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Solution

The fourth proportional to 55,542.64, 83,322.60 and 18,598 is: 27,899.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,542.64 : 83,322.60 = 18,598 : x
  2. Step 2: Convert to fraction form
    55,542.64/83,322.60 = 18,598/x
  3. Step 3: Cross multiply
    55,542.64x = 83,322.60 × 18,598
  4. Step 4: Simplify right side
    55,542.64x = 1,549,633,714.80
  5. Step 5: Solve for x
    x = 1,549,633,714.80/55,542.64
  6. Step 6: Final answer
    x = 27,899.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.