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Finding the Fourth Proportional to 32,471.68, 44,814.34 and 19,054.20

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Solution

The fourth proportional to 32,471.68, 44,814.34 and 19,054.20 is: 26,296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,471.68 : 44,814.34 = 19,054.20 : x
  2. Step 2: Convert to fraction form
    32,471.68/44,814.34 = 19,054.20/x
  3. Step 3: Cross multiply
    32,471.68x = 44,814.34 × 19,054.20
  4. Step 4: Simplify right side
    32,471.68x = 853,901,397.23
  5. Step 5: Solve for x
    x = 853,901,397.23/32,471.68
  6. Step 6: Final answer
    x = 26,296.80

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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.