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Finding the Fourth Proportional to 99,430.22, 149,072.42 and 46,811

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Solution

The fourth proportional to 99,430.22, 149,072.42 and 46,811 is: 70,182.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,430.22 : 149,072.42 = 46,811 : x
  2. Step 2: Convert to fraction form
    99,430.22/149,072.42 = 46,811/x
  3. Step 3: Cross multiply
    99,430.22x = 149,072.42 × 46,811
  4. Step 4: Simplify right side
    99,430.22x = 6,978,229,052.62
  5. Step 5: Solve for x
    x = 6,978,229,052.62/99,430.22
  6. Step 6: Final answer
    x = 70,182.17

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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.