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Finding the Fourth Proportional to 73,926, 102,021.53 and 42,097.86

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Solution

The fourth proportional to 73,926, 102,021.53 and 42,097.86 is: 58,097.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,926 : 102,021.53 = 42,097.86 : x
  2. Step 2: Convert to fraction form
    73,926/102,021.53 = 42,097.86/x
  3. Step 3: Cross multiply
    73,926x = 102,021.53 × 42,097.86
  4. Step 4: Simplify right side
    73,926x = 4,294,887,876.44
  5. Step 5: Solve for x
    x = 4,294,887,876.44/73,926
  6. Step 6: Final answer
    x = 58,097.12

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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.