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Finding the Fourth Proportional to 189,347.50, 284,023.41 and 49,097.62

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Solution

The fourth proportional to 189,347.50, 284,023.41 and 49,097.62 is: 73,646.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,347.50 : 284,023.41 = 49,097.62 : x
  2. Step 2: Convert to fraction form
    189,347.50/284,023.41 = 49,097.62/x
  3. Step 3: Cross multiply
    189,347.50x = 284,023.41 × 49,097.62
  4. Step 4: Simplify right side
    189,347.50x = 13,944,873,455.28
  5. Step 5: Solve for x
    x = 13,944,873,455.28/189,347.50
  6. Step 6: Final answer
    x = 73,646.99

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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.